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Two remarks on quenching phenomenon for semilinear parabolic equations 被引量:5
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作者 DAI Qiuyi and GU Yonggeng1 Xiangtan Mining Institute, Xiangtan 411201, China 2 Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China 《Chinese Science Bulletin》 SCIE EI CAS 1997年第3期258-259,共2页
THIS letter discusses the following initial-boundary value problem: where (?)Ω is the boundary of domain Ω, f(s): [0, b)→(0, +∞) satisfy Because this problem has strong background of physics and geometry, it has a... THIS letter discusses the following initial-boundary value problem: where (?)Ω is the boundary of domain Ω, f(s): [0, b)→(0, +∞) satisfy Because this problem has strong background of physics and geometry, it has attracted much attention in recent years. The main results can be found in ref. [1]. Here we give only a result of reference [2]. 展开更多
关键词 Two remarks on quenching phenomenon for semilinear parabolic equations
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Existence and Nonexistence of Global Classical Solutions to Porous Medium and Plasma Equations with Singular Sources 被引量:1
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作者 Qiu Yi DAI Li Hui PENG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第2期485-496,共12页
Let Ω be a bounded or unbounded domain in R~n. The initial-boundary value problem for the porous medium and plasma equation with singular terms is considered in this paper. Criteria for the appearance of quenching ph... Let Ω be a bounded or unbounded domain in R~n. The initial-boundary value problem for the porous medium and plasma equation with singular terms is considered in this paper. Criteria for the appearance of quenching phenomenon and the existence of global classical solution to the above problem are established. Also, the life span of the quenching solution is estimated or evaluated for some domains. 展开更多
关键词 Initial-boundary value problem Porous medium and plasma equation quenching phenomenon Global classical solution
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