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退化抛物型方程与单侧约束系统

郭兴明

郭兴明. 退化抛物型方程与单侧约束系统[J]. 应用数学和力学, 1996, 17(10): 927-932.
引用本文: 郭兴明. 退化抛物型方程与单侧约束系统[J]. 应用数学和力学, 1996, 17(10): 927-932.
Guo Xingming. Degenerate Parabolic Equation and Unilateral Constraint Systems[J]. Applied Mathematics and Mechanics, 1996, 17(10): 927-932.
Citation: Guo Xingming. Degenerate Parabolic Equation and Unilateral Constraint Systems[J]. Applied Mathematics and Mechanics, 1996, 17(10): 927-932.

退化抛物型方程与单侧约束系统

Degenerate Parabolic Equation and Unilateral Constraint Systems

  • 摘要: 本文讨论了一类非线性非自治多值的退化抛物型方程解的存在性和解的正则性等。它代表一类具非线性本构约束及不可微外约束的能量耗散的物理、力学和优化等问题。
  • [1] G.Duvaut and J.L.Lions, Inequalities Problems in Mechanics and Physics,Springer-Verlag (1976).
    [2] J,L, Lloas,Optimal Control of System} Governed by Partial Differential Equation,Springer-Verlag (1971).
    [3] 郭仲衡,《非线性弹性理论》.科学出版社(1980).
    [4] I, D, Mayergoyz,Mathematical Models of Hysteresis, Springer-Verlag, Berlin(1991).
    [5] J,W,Macki,P,Nistri and P.Zecca,Mathematical models for hysteresis,SIAM Rev,35 (1993),94-123.
    [6] U,Hornung and R,E,Showalter, PDE models with hysteresis on the boundary,in Models of Hgsteresis, Pitman Research Notes in Mathematics 286, A,Visintined,Longman Scientific and Technical, Harlow,U,K,(1993),30-38.
    [7] Knops,Nonlinear Analgsis and Mechanics,Vol.Ⅳ,Pitman Adv Publishing Program (1979).
    [8] H,Brezis, monotonicity methods in Hilbert space and some application to nonlinear partial differential equations, in Contribution to Nonlinear Functional Analbsis, Ed, by E,H,Zarautonelle Academic Press, New York (1971),101-156.
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出版历程
  • 收稿日期:  1996-03-10
  • 刊出日期:  1996-10-15

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