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Zbl 1032.35116
Jeong, Jin-Mun; Park, Jong-Yeoul
Nonlinear variational inequalities of semilinear parabolic type.
(English)
[J] J. Inequal. Appl. 6, No.2, 227-245 (2001). ISSN 1029-242X/e

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 2000:
*35K85 Unilateral problems; variational inequalities (parabolic type)
35R10 Difference-partial differential equations
35K55 Nonlinear parabolic equations
35D05 Existence of generalized solutions of PDE

Keywords: regularity for solutions; analytic semigroup; subdifferential operator

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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