Fujita-type phenomenon of nonlinear coupled nonlocal diffusion system
نویسندگان
چکیده
منابع مشابه
A Critical Exponent of Fujita Type for a Nonlinear Reaction-Diffusion System on Riemannian Manifold
In this paper, we study the global existence and nonexistence of positive solutions to the following nonlinear reaction-diffusion system ut −∆u = W (x)v + S(x) in M × (0,∞), vt −∆v = F (x)u + G(x) in M × (0,∞), u(x, 0) = u0(x) in M, v(x, 0) = v0(x) in M, where M (n ≥ 3) is a non-compact complete Riemannian manifold, ∆ is the Laplace-Beltrami operator, and S(x), G(x) are non-negative...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2015
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2015.03.011