Neumann problem for reaction–diffusion systems with nonlocal nonlinear sources

This paper considers the Neumann problem for several types of systems with nonlocal nonlinear terms. We first give the blow-up conditions. And then, for the blow-up solution, we establish the precise blow-up estimates and show the blow-up set is the whole region.

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Bibliographische Detailangaben
Veröffentlicht in:	Nonlinear analysis 2005-06, Vol.61 (7), p.1209-1224
Hauptverfasser:	Xiang, Zhaoyin, Hu, Xuegang, Mu, Chunlai
Format:	Artikel
Sprache:	eng
Schlagworte:	Blow-up estimates Diffusion system Exact sciences and technology Global existence and blowup Mathematical analysis Mathematics Nonlocal source Partial differential equations Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	This paper considers the Neumann problem for several types of systems with nonlocal nonlinear terms. We first give the blow-up conditions. And then, for the blow-up solution, we establish the precise blow-up estimates and show the blow-up set is the whole region.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2005.01.098