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arXiv · 2008.08307

Strong traces to degenerate parabolic equations

Marko Erceg·Darko Mitrović
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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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Marko Erceg, Darko Mitrović. 2020-08-19. Strong traces to degenerate parabolic equations. https://doi.org/10.1137/21m1425530

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