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.

Degenerate Parabolic Equation and Unilateral Constraint Systems

  • Received Date: 1996-03-10
  • Publish Date: 1996-10-15
  • In this paper the existence and regularity of solution to a nonlinear and nonautonomous multivalued parabolic equation which represents some energy dissipative problms with nonlinear constiutive constraints and non-differential external constraints in physics mechanics and optimization.
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  • [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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