Extinction of solutions of higher order parabolic equations with double nonlinearity and degenerate absorption potential

被引：0
作者：
Stiepanova K.V. [1 ]
机构：
[1] Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, 74, R. Luxemburg Str, Donetsk
来源：
Journal of Mathematical Sciences | 2015年 / 204卷 / 3期
关键词：
Absorption potential; Extinction (vanishing) of the solutions for a finite time; Nonlinear higher-order parabolic equations; Semiclassical analysis;
D O I：
10.1007/s10958-014-2207-2
中图分类号：
学科分类号：
摘要：
We study the extinction property of solutions to the Cauchy–Dirichlet problem for nonlinear parabolic equations of the order 2m with absorption potential in a semibounded cylinder (0,+∞) × Ω, where Ω is a bounded domain in ℝN, N ≥ 1. The sufficient conditions ensuring the extinction of a solution in a finite time, which depend on N,m, and q (where q is a parameter of the homogeneous nonlinearity in the main part of the equation), are obtained. © 2014, Springer Science+Business Media New York.
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页码：351 / 368
页数：17
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