Nonlinear variational inequalities of semilinear parabolic type. (English) Zbl 1032.35116

Summary: The existence of solutions for the nonlinear functional differential equation governed by the variational inequality is studied. The regularity and a variation of solutions of the equation are also given.


35K85 Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators
35R10 Partial functional-differential equations
35K55 Nonlinear parabolic equations
35D05 Existence of generalized solutions of PDE (MSC2000)
Full Text: DOI EuDML