Author:
Xiao Suping,Fang Zhong Bo
Abstract
AbstractThis paper is devoted to proving some new nonexistence theorems for a class of quasilinear parabolic differential inequalities with a singular potential term and nonlocal source term in the case of homogeneous and non-homogeneous by the test function method.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference19 articles.
1. Bebernes, J., Bressan, A.: Thermal behavior for a confined reactive gas. J. Differ. Equ. 44(1), 118–133 (1982)
2. Bebernes, J., Eberly, D.: Mathematical Problems from Combustion Theory. Springer, New York (1989)
3. Furter, J., Grinfield, M.: Local vs. nonlocal interactions in populations dynamics. J. Math. Biol. 27(1), 65–80 (1989)
4. Fujita, H.: On the blowing up solutions of the Cauchy problem for $u_{t}=\triangle u+u^{\alpha+1}$. J. Fac. Sci., Univ. Tokyo, Sect. I 13(2), 109–124 (1966)
5. Galaktionov, V.A., Vazquez, J.L.: Continuation of blowup solutions of nonlinear heat equations in several space dimensions. Commun. Pure Appl. Math. 50(1), 1–67 (1997)
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