Global existence and nonexistence of solutions for quasilinear parabolic equation
نویسندگان
چکیده
منابع مشابه
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ut = ∇ · (|∇u|m∇u) + f(u, v), x ∈ Ω, t > 0, vt = ∇ · (|∇v|n∇v) + g(u, v), x ∈ Ω, t > 0, (1.1) u(x, 0) = u0(x), v(x, 0) = v0(x), x ∈ Ω, u(x, t) = v(x, t) = 0, x ∈ ∂Ω, where Ω is a bounded domain in R(N > 1) with smooth boundary ∂Ω and m,n > 0. For m = n = 0, f(u, v) = uv, g(u, v) = uv and u0(x), v0(x) ≥ 0, the problem (1.1) has been investigated extensively and the existence and nonexistence of ...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2014
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2014-33