Displaying similar documents to “Generic behaviour of one-dimensional blow up patterns”

Blow-up behavior in nonlocal vs local heat equations

Philippe Souplet (2000)

Banach Center Publications

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We present some recent results on the blow-up behavior of solutions of heat equations with nonlocal nonlinearities. These results concern blow-up sets, rates and profiles. We then compare them with the corresponding results in the local case, and we show that the two types of problems exhibit "dual" blow-up behaviors.