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arXiv:1902.01127 [math.AP]AbstractReferencesReviewsResources

Continuation beyond interior gradient blow-up in a semilinear parabolic equation

Marek Fila, Johannes Lankeit

Published 2019-02-04Version 1

It is known that there is a class of semilinear parabolic equations for which interior gradient blow-up (in finite time) occurs for some solutions. We construct a continuation of such solutions after gradient blow-up. This continuation is global in time and we give an example when it never becomes a classical solution again.

Categories: math.AP
Subjects: 35K55, 35B44
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