具有弱、强阻尼项和对数非线性的$p$- laplace双曲型方程解的全局适定性

IF 0.6 4区数学 Q3 MATHEMATICS Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI:10.11650/tjm/220702

N. Boumaza, Billel Gheraibia, Gongwei Liu

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引用次数: 4

摘要

本文研究了具有弱阻尼项和强阻尼项以及对数非线性的p-拉普拉斯双曲型方程。利用势阱方法和对数Sobolev不等式，我们证明了在两种情况E（0）0（ω=0）问题解的有限时间爆破。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Global Well-posedness of Solutions for the $p$-Laplacian Hyperbolic Type Equation with Weak and Strong Damping Terms and Logarithmic Nonlinearity

. In this paper, we consider the p -Laplacian hyperbolic type equation with weak and strong damping terms and logarithmic nonlinearity. By using the potential well method and a logarithmic Sobolev inequality, we prove global existence, inﬁnite time blow up and asymptotic behavior of solutions in two cases E (0) < d and E (0) = d . Furthermore, the inﬁnite time blow up of solutions for the problem with E (0) > 0 ( ω = 0) is studied.

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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.