Blow-up behavior in nonlocal vs local heat equations

• Autorzy: Philippe Souplet
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

asymptotic behavior; boundary behavior; nonlinear parabolic equations; blow-up profiles; nonlocal source; finite time blow-up

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2000
• Tom: 52
• Numer: 1
• Strony: 221-226

Daty

wydano

2000

Twórcy

autor

Philippe Souplet

• Département de Mathématiques, Université de Picardie, INSSET, 02109 St-Quentin, France

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