(i) 反応拡散方程式とそのシステム

1. Yuki Kaneko, Hiroshi Matsuzawa and Yoshio Yamada
   A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions III: General case,
   Discrete and Contiuous Dynamical Systems, Ser. S, Early access April, 2023
2. Yoshio Yamada,
   Free boundary problems for reaction-diffusion equations arising in ecology, Jul.,2022,
   preprint. PDF file
3. Yuki Kaneko, Hiroshi Matsuzawa and Yoshio Yamada,
   A free boundary oroblem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions II: Asymptotic profiles of solutions and radial terrace solution,
   to appear in Journal de Mathematiques Pures et Appliquees.
4. Yuki Kaneko, Hiroshi Matsuzawa and Yoshio Yamada,
   A free boundary oroblem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions I: Clasificaton of asymptotic behabior,
   Discrete and Continuous Dynamical Systems, Vol. 42 (2022), 2719-2745.
5. Mitsuki Kobayashi and Yoshio Yamada,
   Global existence of weak solutions to forest kinematic model with nonlinear degenerate diffusion,
   Advances in Mathematical Siences and Applicatins, Vol. 29 (2020), 187-209.
6. Yoshio Yamada,
   Asymptotic properties of a free bounary problem for a reaction-diffusion equation with multi-stable nonlinearity,
   Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, Vol.52 (2020), 65-89.
7. Yuki Kaneko, Hiroshi Matsuzawa and Yoshio Yamada,
   Asymptotic profiles of solutions and propagating terrace for a free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity,
   SIAM Journal on Mathematical Analysis, Vol. 52 (2020), 65-103.
8. Maho Endo, Yuki Kaneko and Yoshio Yamada,
   Free boundary problem for a reaction-diffusion equation with positive bistable nonlinearity,
   Disrete Continuous Dynamical Systems, A, Vol. 40 (2020), 3375-3394.
9. M. Kobayashi, T. Suzuki and Y. Yamada,
   Lotka-Voltera systems with periodic orbits,
   Funkcialaj Ekvacioj, Vol. 62 (2019), 129-155.
10. 遠藤真帆，兼子裕大，山田義雄，
    A free boundary problem for reaction-diffusion equation with positive bistable nonlinearity
    (Theoretical Developments to Phenomenon Analysis based on Nonlinear Evolution Equations),
    数理解析研究所講究録　2121巻, pp. 29-40, 2019年.
11. M. Pierre, T. Suzuki and Y. Yamada,
    Dissipative reaction diffusion systems with quadratic growth,
    Indiana University Mathematics Journal, Vol. 68 (2019), 291-322.
12. Yuki Kaneko and Yoshio Yamada,
    Spreading speed and profiles of solutions to a free boundary problem with Dirichlet boundary conditions,
    Journal of Mathematical Analysis and Applications, Vol.465 (2018), 1159-1175.
13. Shanbing Li and Yoshio Yamada,
    Effects of cross-diffusion in the diffusion prey-predator model with a protection zone II,
    Journal of Mathematical Analysis and Applications, Vol. 461 (2018), 971-992.
14. R. Yamamoto and Y. Yamada,
    Analysis of forest kinematic model with nonlinear degenerate diffusion,
    Advances in Mathematical Sciences and Applicaions, Vol. 25, No.1 (2016), 307-320. PDF file
15. 兼子裕大，山田義雄，
    Spreading, vanishing and singularity for radially symmentric solutions of a Stefan-type free boundary problem,
    (Developments of the Theory of Evolution Equations as the Applications to the Analysis of Nonlinear Phenomena),
    数理解析研究所講究録　1997巻，pp. 86-95, 2016年．
16. Yusuke Kawai and Yoshio Yamada,
    Multiple spreading phenomena for a free boundary problem of a reaction-diffusion equation with a certain class of bistable nonlinearity,
    Journal of Differential Equations, Vol. 261 (2016), 538-572.
17. Yusuke Yoshida and Yoshio Yamada,
    Asymptotic behavior of solutions for semilinear Volterra diffusion equations with spatial inhomogeneity and advection,
    Tokyo Journal of Mathematics Vol.39, No.1 (2016), 271-292.
18. Yoshio Yamada
    Nonlinear diffusion equations with cross-diffusion: reaction-diffusion equations appearing in mathematical ecology, Sugaku Expositions Vol. 29, No. 2 (2016), 121-144. PDF file
19. Y. Yamada,
    On logisitic diffusion equations with nonlocal interaction terms,
    Nonlinear Analysis, Theory, Methods & Applications, Vol. 118 (2015), pp.51-62.
20. T. Suzuki and Y. Yamada,
    Global-in-time behavior of a Lotka-Volterra system with diffusion,
    Indiana University Mathematics Journal, Vol. 64 (2015), pp. 181-216.
21. Y. Kaneko, K. Oeda and Y. Yamada,
    Remarks on spreading and vanishing for free boundary problems of some reaction-diffusion equations,
    Funkcialaj Ekvacioj, Vol. 57 (2014), pp. 449-465.
22. 山田義雄，
    On logistic equations with diffusion and nonlocal terms,
    (Progress in Qualitative Theory of Ordinary Differential Equations),
    数理解析研究所講究録 1901巻, pp. 121-134, 2014年．
23. 兼子裕大，山田義雄,
    On a population model witha free boundary and related elliptic problems,
    (Progress in Qualitative Theory of Ordinary Differential Equations),
    数理解析研究所講究録 1901巻, pp. 69-78, 2014年．
24. G. Karali, T. Suzuki and Y. Yamada,
    Global-in-time behavior of the solution to a Gierer-Meinhardt system,
    Discrete and Continuous Dynamical Systems, Vol. 33 (2013), pp. 2885-2900.
25. 山田　義雄
    交差拡散を伴う非線形拡散方程式系--数理生態学に現れる反応拡散方程式系--,
    数学，64巻 (2012），pp. 384−406.
26. K. Kuto and Y. Yamada,
    On limit systems for some population models with cross-diffusion,
    Discrete and Continuous Dynamical Systems B, Vol.17 (2012), pp. 2745-2769.
27. 山田義雄，
    交差拡散を伴う数理生態学モデルについて，(非線形拡散の数理）,
    数理解析研究所講究録 1810巻，pp. 39-58, 2012年．
28. L. Latos, T. Suzuki and Y. Yamada,
    Transient and asymptotic dynamics for a prey-predator system with diffusion,
    Mathematical Methods in the Applied Sciences, Vol. 35 (2012), pp. 1101-1109.
29. 兼子裕大，山田義雄，
    A free boundary problem modelling the invasion of soecies,
    (Analysis on Non-Equilibria and Nonlinear Phenomena: from the Evolution Equation Point of View),
    数理解析研究所講究録 1792巻， pp.108-117, 2012年．
30. Y. Kaneko and Y. Yamada,
    A free boundary problem for a reaction-diffusion equation appearing in ecology, herh
    Advances in Mathematical Sciences and Applications, Vol. 21 (2011), pp. 467-492. PDF file
31. K. Kuto and Y. Yamada,
    Positive solutions for Lotka-Volterra competition systems with large cross-diffusion,
    Applicable Analysis, Special Issue, Vol. 89 (2010), pp. 1037-1066.
32. K. Kuto and Y. Yamada,
    Coexsitence problem for a prey-predator model with density-dpendent diffusion,
    Nonlinear Analysis; Theory, Methods & Applications Vol. 71 (2009), pp. e2223-e2232.
33. K. Kuto and Y. Yamada,
    Limiting characterization of sataionary solutions for a prey-predator model with nonlinear diffusion of fractional type,
    Differential and Integral Equations Vol.22 (2009), pp.725-752.
34. Y. Yamada,
    Global solutions for the Shigesada-Kawasaki-Teramoto model with cross-diffusion,
    ``Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions," Edited by Yihong Du, Hitoshi Ishii and Wei-Yuen Lin,
    pp. 282-299, World Scientific, 2009. PDF file
35. Y. Yamada,
    Positive Solutions for Lotka-Volterra Systems with Cross-Diffusion,
    ``Handbook of Differential Equations: Stationary Partial Differential Equations," Vol. 6, Edited by M. Chipot, pp. 411-501, 2008.
36. Y. Du and Y. Yamada,
    On the long-time limit of positive solutions to the degenerate logistic equation,
    Discrete and Contiunous Dynamical Systems, Special Issue, Ser. A, Vol. 25 (2009), pp. 123-132.
37. M. Urano, K. Nakashima and Y. Yamada,
    Steady-states with transition layers and spikes for a bistable reaction-diffusion equation,
    Mathematical Approach to Nonlienar Phenomena, Analysis and Simulations, pp. 267-279, Gakuto Internat. Ser. Math. Sci. Appl. Vol. 23, 2005.
38. M. Urano, K. Nakashima and Y. Yamada,
    Transition layers and spikes for a bistable reaction-diffusion equation,
    Adv. Math. Sci. Appl. Vol. 15(2005), pp. 683-707. PDF file
39. M. Urano, K. Nakashima and Y. Yamada,
    Transition layers and spikes for a reaction-diffusion equation with bistable nonlinearity,
    Dynamical Systems and Differential Equations, Supplement Volume (2005), pp. 868-877.
40. K. Kuto and Y. Yamada,
    Coexistence states for a prey-predator model with cross-diffusion,
    Dynamical Systems and Differential Equations, Supplement Volume (2005), pp. 536-545.
41. K. Kuto and Y. Yamada,
    Multiple coexistence states for a prey-predator system with cross-diffusion,
    J. Differential Equations Vol. 197 (2004), pp. 315-348.
42. Y. Yamada,
    Existence of global solutins for the Shigesada-Kawasaki-Teramoto model with cross- diffusion (Evolutin Equations and Asymptotic Analysis of Solutions), 数理解析研究所講究録　1358巻, pp. 24-33, 2004年．
43. T. S. Choi, R. Lui and Y. Yamada,
    Existence of global solutions for the Shigesada-Kawasaki-teramoto model with strongly coupled cross-diffusion,
    Discrete Continuous Dynamical Systems Vol. 10 (2004), pp. 719-730.
44. T. S. Choi, R. Lui and Y. Yamada,
    Existence of global solutions for the Shigesada-Kawasaki-teramoto model with weak cross-diffusion,
    Disscrete Continuous Dynamical Systems Vol. 9 (2003), pp. 1193-1200.
45. T. Hirose and Y. Yamada,
    Multiple existence of positive solutions of competing species equations with diffusion and large interactions,
    Adv. Math. Aci. Appl. Vol. 12 (2002), pp. 435-453. PDF file
46. Y. Yamada,
    Positive solutions for Lotka-Volterra competition system with diffusion,
    Nonlinear Anal. Vol. 47 (2001), Proceedings of the World Congress of Nonlienar Analysts, Catania, Sicily, Italy, 19-26 July 2000, pp. 6085-6096.
47. 山田義雄，
    Multiple coexistence states for Lotka-Volterra competition model with diffusion,
    (Nonlinear Diffusive Systems: Dynamics and Asymptotics),
    数理解析研究所講究録 1178巻， pp. 167-180, 2000年．
48. Y. Yamada,
    Coexistence states for Lotka-Volterra systems with cross-diffusion,
    Operator Theory and Its Applications,
    Fields Institute Communications, Vol. 25 (2000), pp. 551-564.
49. T. Ichikawa and Y. Yamada,
    Some remarks on global solutions to quasilinear parabolic system with cross-diffusion,
    Funkcial. Ekvac. Vol. 43 (2000), pp. 285-301.
50. 山田義雄,
    Sublinear term をもつ放物型方程式の解の一意性，（非線形発展方程式とその 応用)，
    数理解析研究所講究録 1135巻， pp. 129-139, 2000年．
51. A. Yoshida and Y. Yamada,
    Global attracitivity of a coexistence states for a certain class of
    reaction-difusion systems with 3 x 3 cooperative matrices,
    Adv. Math. Sci. Appl. Vol. 9 (1999), pp. 695-706.
52. S. Takeuchi and Y. Yamada,
    Asymptotic properties of a reaction-diffusion equation with degenerate p-Laplacian,
    Nonlinear Anal. Vol. 42 (2000), pp. 41-61.
53. Y. Yamada,
    Coexistence states for some population models with nonlinearcross-diffusion, Biological Pattern Formation,
    Forma Vol. 12 (1997), pp. 153-166.
54. K. Nakashima and Y. Yamada,
    Positive steady states for prey-predator models withcross-diffusion,
    Adv. Differential Equations Vol. 1 (1996), pp.1099-1122.
55. K. Nakashima and Y. Yamada,
    On positive steady-states for some reaction-diffusion system,
    Adv. Math. Aci. Appl. Voo. 6 (1996), pp. 279-289. PDF file
56. Y. Yamada,
    A certain class of reaction-diffusion systems with feedback effects,
    Adv. Math. Aci. Appl. Vol. 5 (1995), pp. 477-485. PDF file
57. Y. Yamada,
    Global solutions for quasilinear parabolic systems with cross-diffusion effects,
    Nonlinear Anal. Vol. 24 (1995), pp. 1395-1412.
58. H. Hoshino and Y. Yamada,
    Asymptotic behavior of global solutions for some reaction-diffusion systems,
    Nonlinear Anal. Vol. 23 (1994), pp. 639-650.
59. H. Hoshino and Y. Yamada,
    Solvability and smoothing effect for semilinear parabolic equations,
    Funkcial. Ekvac. Vol. 34 (1991), pp. 475-494.
60. Y. Yamada,
    Stability of steady-states for prey-predator diffusion equations with homogeneous Dirichlet conditions,
    SIAM J. Math. Anal. Vol.21 (1990), pp. 327-345.
61. 星野弘喜，山田義雄，
    半線型高階放物型方程式の大域解について，（発展方程式とその応用），
    数理解析研究所講究録 698巻，pp. 14-35, 1989年．

1. M. Iida, Y. Yamada and S. Yotsutani,
   On the convergence rates for solutions of some chemical interfacial reaction problems,
   Osaka J. Math. Vol. 32 (1995), 373-396.
2. M. Iida, Y. Yamada, E. Yanagida and S. Yotsutani,
   Exponential convergence of solutions for a mathematical model on chemical interfacial reactions,
   Adv. Math. Sci. Appl. Vol.3 (1993/94), 335-352.
3. M. Iida, Y. Yamada and S. Yotsutani,
   Convergence of solutions of a chemical interacial reaction model,
   Funkcial. Ekvac. Vol. 36 (1993), 311-328.
4. M. Iida, Y. Yamada and S. Yotsutani,
   Asymptotic behavior of solutions for a mathematical model on chemical interfacial reactions,
   Osaka J. Math. Vol. 29 (1992),483-495.
5. T. Hishida and Y. Yamada,
   Global solutions for the heat convection equation in an exterior domain,
   Tokyo J. Math. Vol. 15 (1992), 135-151.
6. 飯田雅人，山田義雄，四ツ谷晶二，
   界面における化学反応のモデル：・@解の漸近挙動について，
   (発展方程式と非線型問題への応用），
   数理解析研究所講究録 755巻，pp. 171-184, 1991年．
7. Y. Yamada and S. Yotsutani,
   A mathematical model on chemical interfacial reactions,
   Japan J. Appl. Math. Vol. 7 (1990), 369-398.
8. Y. Yamada and S. Yotsutani,
   Note on chemical interfacial reaction models,
   Proc. Japan Aca. Ser. A Math. Sci. Vol. 62 (1987), 379-381.
9. Y. Hashimoto, Y. Niikura and Y. Yamada,
   Stability and instability for semilinearparabolic equations with free boundary conditions,
   Nonlinear Anal. Vol. 8 (1984), 683-694.
10. Y. Giga, Y. Hashimoto and Y. Yamada,
    Parabolic equations with free boundary conditions,
    Funkcial. Ekvac. Vol. 26 (1983), 263-279.

1. Y.Yoshida and Y. Yamada,
   Asymptotic behavior of solutions for semilinear Volterra diffusion equations with spatial inhomogeneity and advection,
   Tokyo Journal of Mathematics, Vol.39 (2016), No.1, 271-292.
2. Y. Yamada,
   On logisitic diffusion equations with nonlocal interaction terms,
   Nonlinear Analysis, Theory, Methods & Applications, Vol. 118 (2015), pp.51-62.
3. Y. Yamada,
   Asymptotic behavior of solutions for semilinear Volterra diffusion equations,
   Nonlinear Anal. Vol. 21 (1993), 227-239.
4. Y. Yamada and Y. Niikura,
   Bifurcation of periodic solutions for nonlinear parabolic equations with infinite delays,
   Funkcial. Ekvac. Vol. 29 (1986), 309-333.
5. Y. Yamada,
   Asymptotic stability for some systems of semilinear Volterra diffusion equations,
   J. Differential Equations Vol. 52 (1984), 295-326.
6. Y. Yamada,
   On some semilinear Volterra diffusion equations arising in ecology,
   Equadiff 5 (Blatislava, 1981), 370-373,
   Teubner-Texte Math. Vol.47, Teubner, Leipzig, 1982.
7. Y. Yamada,
   On a certain class of semi-linear Volterra diffusion equations,
   J. Math. Anal. Appl. Vol. 88 (1982), 433-451.
8. 山田義雄，
   Volterra 型半線型拡散方程式について，（Mathematical Topics in Biology: '80 December),
   数理解析研究所講究録 420巻， pp. 77-92, 1981年．

1. M. Hosoya and Y. Yamada,
   On some nonlinear wave equations. II. Global existence and energy decay of solutions,
   J. Fac. Sci. Univ. Tokyo Sect IA Math. Vol.38 (1991),239-250.
2. M. Hosoya and Y. Yamada,
   On some nonlinear wave equations. I. Local existence and regularity of solutions,
   J. Fac. Sci. Univ. Tokyo Sect IA Math. Vol. 38 (1991),225-238.
3. K. Nishihara and Y. Yamada,
   On global solutions of some degenerate quasilinear hyperbolic equations with dissipative terms,
   Funkcial. Ekvac. Vool. 33 (1990), 151-159.
4. Y. Yamada,
   Some nonlinear degenerate wave equations,
   Nonlinear Anal. Vol. 11 (1987), 1155-1168.
5. Y. Yamada,
   On some quasilinear wave equations with dissipative terms,
   Nagoya Math. J. Vol. 87 (1982), 17-39.
6. Y. Yamada,
   Quasilinear wave equations and related nonlinear evolution equations,
   Nagoya Math. J. Vol. 84 (1981), 31-83.
7. 山田義雄，
   準線型波動方程式について，・i応用科学に・ｨける偏微分方程式の応用解析)，
   数理解析研究所講究録 386巻， pp. 53-69，1980年．
8. Y. Yamada,
   Some remarks on the equation $y_{tt} - \sigma(y_x)y_{xx} - y_{xtx} = f,
   Osaka J. Math. Vol. 17 (1980), 303-323.

1. Yuki Kaneko, Hiroshi Matsuzawa and Yoshio Yamada
   A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions III: General case,
   Discrete and Contiuous Dynamical Systems, Ser. S, Early access April, 2023
2. Yuki Kaneko, Hiroshi Matsuzawa and Yoshio Yamada,
   A free boundary oroblem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions II: Asymptotic profiles of solutions and radial terrace solution,
   to appear in Journal de Mathematiques Pures et Appliquees.
3. Yuki Kaneko, Hiroshi Matsuzawa and Yoshio Yamada,
   A free boundary oroblem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions I: Clasificaton of asymptotic behabior,
   Discrete and Continuous Dynamical Systems, Vol. 42 (2022), 2719-2745.
4. Yoshio Yamada,
   Asymptotic properties of a free bounary problem for a reaction-diffusion equation with multi-stable nonlinearity,
   Rendiconti dell'Instituto di Matematica dell'Universita di Trieste, Vo.52 (2020), 65-89.
5. Yuki Kaneko, Hiroshi Matsuzawa and Yoshio Yamada,
   Asymptotic profiles of solutions and propagating terrace for a free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity,
   SIAM Journal on Mathematica Analysis, Vol. 52 (2020), 65-103.
6. Maho Endo, Yuki Kaneko and Yoshio Yamada,
   Free boundary problem for a reaction-diffusion equation with positive bistable nonlinearity,
   Disrete Continuous Dynamical Systems A, Vol. 40 (2020), 3375-3394.
7. 遠藤真帆，兼子裕大，山田義雄，
   A free boundary problem for reaction-diffusion equation with positive bistable nonlinearity
   (Theoretical Developments to Phenomenon Analysis based on Nonlinear Evolution Equations),
   数理解析研究所講究録　2121巻, pp. 29-40, 2019年.
8. Y. Kaneko and Y. Yamada,
   Spreading speed and profiles of solutions to a free boundary problem with Dirichlet boundary conditions,
   Journal of Mathematical Analysis and Applications, Vol.465 (2018), 1159-1175
9. 兼子裕大，山田義雄，
   Spreading, vanishing and singularity for radially symmentric solutions of a Stefan-type free boundary problem,
   (Developments of the Theory of Evolution Equations as the Applications to the Analysis of Nonlinear Phenomena),
   数理解析研究所講究録　1997巻，pp. 86-95, 2016年．
10. Y.Kawai and Y.Yamada,
    Multiple spreading phenomena for a free boundary problem of a reaction-diffusion equation with a certain class of bistable nonlinearity,
    Journal of Differential Equations, Vol. 261 (2016), 538-572.
11. 兼子裕大，山田義雄,
    On a population model witha free boundary and related elliptic problems,
    (Progress in Qualitative Theory of Ordinary Differential Equations),
    数理解析研究所講究録 1901巻, pp. 69-78, 2014年．
12. Y. Kaneko, K. Oeda and Y. Ymada,
    Remarks on spreading and vanishing for free boundary problems of some reaction-diffusion equations,
    Funkcialaj Ekvacioj, Vol. 57 (2014), 449-465.
13. Y. Kaneko and Y. Yamada,
    
14. 兼子裕大，山田義雄，
    A free boundary problem modelling the invasion of soecies,
    (Analysis on Non-Equilibria and Nonlinear Phenomena: from the Evolution Equation Point of View),
    数理解析研究所講究録 1792巻， pp.108-117, 2012年． A free boundary problem for a reaction-diffusion equation appearing in ecology,
    Advances in Mathematical Sciences and Applications, Vol. 21 (2011), pp. 467-492.
15. T. Aiki, H. Imai, N. Ishimura and Y. Yamada,
    Well-posedness of one-phase Stefan problems for sublinear heat equations.
    Nonlinear Anal. Vol. 51 (2002), 587-606.
16. T. Aiki, H. Imai, N. Ishimura and Y. Yamada,
    One-phase Stefan problems for sublinear heat equations: Asymptotic behavior of solutions.
    Communications in Applied Analysis, Vol. 8 (2004), 1-15.
17. T. Aiki, H. Imai, N. Ishimura and Y. Yamada,
    On one-phase Stefan problems for sublinear heat equations, Proceedings of the 3rd Asian Mathematical Conference 2000, 6-11,
    World Scientific, 2002.
18. M. Mimura, Y. Yamada and S. Yotsutani,
    Free boundary problems for some reaction-diffusion equations,
    Hiroshima Math. J. Vol. 17 (1987), 241-280.
19. M. Mimura, Y. Yamada and S. Yotsutani,
    Stability analysis for free boundary problems in ecology,
    Hiroshima Math. J. Vol. 16 (1986), 477-498.
20. M. Mimura, Y. Yamada and S. Yotsutani,
    On a free boundary problem in ecology, Recent Topics in Nonlinear PDE,
    II (Sendai,1984), pp. 107-125,
    North-Holland Math. Stud.Vol. 128,
    North-Holland, Amsterdam-New York, 1985.
21. M. Mimura, Y. Yamada and S. Yotsutani,
    A free boundary problem in ecology,
    Japan J. Appl. Math. Vol. 2 (1985), 151-186.

1. Y. Yamada,
   Note on certain nonlinear evolution equations of second order,
   Proc. Japan Acad. Ser. A Math. Sci. Vol.55 (1979), 167-171.
2. Y. Yamada,
   On the decay of solutions for some nonlinear evolution equations of second order,
   Nagoya Math. J. Vol. 73 (1979), 69-98.
3. M. Otani and Y. Yamada,
   On the Navier-Stokes equations in noncylindrical domains:
   an approach by the subdifferential operator theory,
   J. Fac. Aci. Univ. Tokyo Sect.IA Math. Vol. 25 (1978), 185-204.
4. Y. Yamada,
   Periodic solutions of certain nonlinear parabolic differential
   equations in domains with periodically moving boundaries.
   Nagoya Math. J. Vol.70 (1978), 111-123.
5. 山田義雄，
   Subdifferential の発展方程式について，(発展系と自由境界問題），
   数理解析研究所講究録　264巻，pp. 176-192, 1976年．
6. Y. Yamada,
   On evolution equations generated by subdifferential operators.
   J. Fac. Sci. Univ. Tokyo Sect.IA Math. Vol.23 (1976), 491-515.