Rothe's Method for Parabolic Problems with Nonlinear Degenerating Coeecient

Abstract

In the paper we investigate local existence of a weak solution u to a degenerate parabolic boundary value problem. Degeneration occurs in the coeecient g(x; t; u) in front of the time derivative which is not assumed to be bounded below by some positive constant. Moreover, this coeecient depends on the solution u. We approximate the problem by… (More)

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