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Existence of solutions to parabolic problems with nonstandard growth and irregular obstacles. (English) Zbl 1338.35266

Summary: In this paper, we establish the existence theory to nonlinear parabolic problems with nonstandard \(p(x,t)\)-growth conditions and irregular obstacles.

MSC:

35K86 Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators
35A01 Existence problems for PDEs: global existence, local existence, non-existence
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Full Text: Euclid