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Critical exponents and lower bounds of blow-up rate for a reaction–diffusion system

✍ Scribed by Huiling Li; Mingxin Wang

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
163 KB
Volume
63
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper is concerned with a reaction-diffusion system with absorption terms under Dirichlet boundary conditions, modelling the cooperative interaction of two diffusion biological species. By constructing blow-up sub-solutions and bounded super-solutions, we obtain the optimal conditions on the exponent of reaction and absorption terms for the existence or nonexistence of global solutions. Moreover, for a special case, we derive the lower bound estimates of blow-up rate.

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