2020•arXiv (Cornell University)Open access

Strong traces to degenerate parabolic equations

Marko Erceg, Darko Mitrović

Abstract

We prove existence of strong traces at $t=0$ for quasi-solutions to (multidimensional) degenerate parabolic equations with no non-degeneracy conditions. In order to solve the problem, we combine the blow up method and a strong precompactness result for quasi-solutions to degenerate parabolic equations with the induction argument with respect to the space dimension.

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Key concepts: Degenerate energy levels, Degeneracy (biology), Parabolic partial differential equation, Dimension (graph theory), Mathematics, Space (punctuation), Argument (complex analysis), Mathematical analysis