Abstract
In this paper the existence and regularity of solution to a nonlinear and nonautonomous multivalued parabolic equation, which represents some energy dissipative problems with nonlinear constitutive constraints and non-differential external constraints in physics, mechanics and optimization.
Similar content being viewed by others
References
G. Duvaut and J. L. Lions, Inequalities Problems in Mechanics and Physics, Springer-Verlag (1976).
J. L. Lions, Optimal Control of Systems Governed by Partial Differential Equation, Springer-Verlag (1971).
Guo Zhongheng, Nonlinear Elasticity, Science Press (1980). (in Chinese)
I. D. Mayergoyz, Mathematical Models of Hysteresis, Springer-Verlag, Berlin (1991).
J. W. Macki, P. Nistri and P. Zecca, Mathematical Models for Hysteresis, SIAM Rev., 35 (1993), 94–123.
U. Hornung and R. E. Showalter, PDE models with hysteresis on the boundary, in Models of Hysteresis, Pitman Research Notes in Mathematics 286, A. Visintin ed., Longman Scientific and Technical, Harlow, U. K. (1993), 30–38.
R. J. Knops, Nonlinear Analysis and Mechanics, Vol. IV, Pitman Adv. Publishing Program (1979).
H. Brezis, Monotonicity methods in Hilbert space and some application to nonlinear partial differential equations, in Contributions to Nonlinear Functional Analysis, Ed. by E. H. Zarautonelle, Academic Press, New York (1971), 101–156.
Author information
Authors and Affiliations
Additional information
Communicated by Chien Weizang
Rights and permissions
About this article
Cite this article
Xingming, G. Degenerate parabolic equation and unilateral constraint systems. Appl Math Mech 17, 987–992 (1996). https://doi.org/10.1007/BF00147136
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00147136