This paper investigates the homogeneous Dirichlet boundary value problem uit -Aui = fi I upii dx, n ' i = 1,2,. , n j=l in a bounded domain R c RN, where pij 2 0 (1 5 i,j 5 n) are constants. Denote by I the identity matrix and P = (pij), which is assumed to be irreducible. It is shown that if Z -P i
✦ LIBER ✦
Neumann problem for reaction–diffusion systems with nonlocal nonlinear sources
✍ Scribed by Zhaoyin Xiang; Xuegang Hu; Chunlai Mu
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 218 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0362-546X
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✦ Synopsis
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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