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Continuation beyond interior gradient blow-up in a semilinear parabolic equation (1902.01127v1)
Published 4 Feb 2019 in math.AP
Abstract: 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.
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