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On the blow-up set for u_t=du^m+u^m, m>1

On the blow-up set for u_t=du^m+u^m, m>1

It is well known that every non trivial solution ofblows up in finite time.We study the blow-up set and the blow-up profile of a solution u(x, t) to this equation with blow-up time T > 0, under the assumption that u 0 (x) is compactly supported.We prove that, up to …