用势阱法研究含特殊介质空隙的高阶反应扩散方程

IF 0.6 4区数学 Q3 MATHEMATICS

Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI:10.11650/tjm/220703

T. Do, N. N. Trong, Bui Le Trong Thanh

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引用次数: 0

摘要

设d∈{1,2,3，…}并且Ω ⊂ Rd与Lipschitz边界是开有界的。考虑反应扩散抛物型问题，其中T>0，p∈（1，∞），0（cid:54）=u 0∈H 20(Ω) 和Γ是向外的法线向量Ω. 我们使用势阱方法研究了该问题的全局弱解的存在性以及衰变和爆破性质。

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On a Higher-order Reaction-diffusion Equation with a Special Medium Void via Potential Well Method

. Let d ∈ { 1 , 2 , 3 , . . . } and Ω ⊂ R d be open bounded with Lipschitz boundary. Consider the reaction-diﬀusion parabolic problem where T > 0, p ∈ (1 , ∞ ), 0 (cid:54) = u 0 ∈ H 20 (Ω) and ν is the outward normal vector to ∂ Ω. We investigate the existence of a global weak solution to the problem together with the decaying and blow-up properties using the potential well method.

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来源期刊

Taiwanese Journal of Mathematics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： The Taiwanese Journal of Mathematics, published by the Mathematical Society of the Republic of China (Taiwan), is a continuation of the former Chinese Journal of Mathematics (1973-1996). It aims to publish original research papers and survey articles in all areas of mathematics. It will also occasionally publish proceedings of conferences co-organized by the Society. The purpose is to reflect the progress of the mathematical research in Taiwan and, by providing an international forum, to stimulate its further developments. The journal appears bimonthly each year beginning from 2008.