Blow-up for Discretizations of a Nonlinear Parabolic Equation With Nonlinear Memory and Mixt Boundary Condition
نویسندگان
چکیده
منابع مشابه
Blow-up analysis for a semilinear parabolic equation with nonlinear memory and nonlocal nonlinear boundary condition
In this paper, we consider a semilinear parabolic equation ut = ∆u + u q ∫ t 0 u(x, s)ds, x ∈ Ω, t > 0 with nonlocal nonlinear boundary condition u|∂Ω×(0,+∞) = ∫ Ω φ(x, y)u (y, t)dy and nonnegative initial data, where p, q ≥ 0 and l > 0. The blow-up criteria and the blow-up rate are obtained.
متن کاملBlow-up for a Semilinear Parabolic Equation with Nonlinear Memory and Nonlocal Nonlinear Boundary
where Ω is a bounded domain in RN for N ≥ 1 with C2 boundary ∂Ω, p, q, l and k are positive parameters, the weight function f (x, y) is nonnegative, nontrivial, continuous and defined for x ∈ ∂Ω, y ∈ Ω, while the nonnegative nontrivial initial Received November 14, 2012, accepted January 28, 2013. Communicated by Eiji Yanagida. 2010 Mathematics Subject Classification: 35B35, 35K50, 35K55.
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* Correspondence: zhgs917@163. com Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China Full list of author information is available at the end of the article Abstract This article deals with the blow-up problems of the positive solutions to a nonlinear parabolic equation with nonlocal source and nonlocal boundary condition. The blow-up and globa...
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ژورنال
عنوان ژورنال: Journal of Mathematics Research
سال: 2019
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v11n6p29