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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.

MSC:
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)
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