Quenching Behavior of Parabolic Problems with Localized Reaction Term
نویسندگان
چکیده
منابع مشابه
Quenching Behavior of Parabolic Problems with Localized Reaction Term
Let p, q, T be positive real numbers, B = {x ∈ R : ∥x∥ < 1}, ∂B = {x ∈ R : ∥x∥ = 1}, x∗ ∈ B, △ be the Laplace operator in R. In this paper, the following the initial boundary value problem with localized reaction term is studied: ut(x, t) = ∆u(x, t) + 1 (1− u(x, t))p + 1 (1− u(x∗, t))q , (x, t) ∈ B × (0, T ), u(x, t) = 0, (x, t) ∈ ∂B × (0, T ), u(x, 0) = u0(x), x ∈ B, where u0 ≥ 0. The existenc...
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ژورنال
عنوان ژورنال: Mathematics and Statistics
سال: 2014
ISSN: 2332-2071,2332-2144
DOI: 10.13189/ms.2014.020107