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Semilinear reaction-diffusion systems with nonlocal sources

✍ Scribed by Weibing Deng; Yuxiang Li; Chunhong Xie

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
493 KB
Volume
37
Category
Article
ISSN
0895-7177

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✦ Synopsis

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 is an M-matrix, every nonnegative solution is global, whereas if I -P is not an M-matrix, there exist both global and nonglobal nonnegative solutions.

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