Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Nebi Yılmaz, Erhan Pişkin, Ercan Çelik
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引用次数: 0

Abstract

In this article, we investigate a nonlinear Petrovsky equation with variable exponent and damping terms. First, we establish the local existence using the Faedo–Galerkin approximation method under the conditions of positive initial energy and appropriate constraints on the variable exponents and . Finally, we prove a finite-time blow-up result for negative initial energy.
一类变指数非线性Petrovsky方程解的适定性与爆破性
本文研究了一类具有变指数和变阻尼项的非线性Petrovsky方程。首先,利用Faedo-Galerkin近似方法,在初始能量为正的条件下,在变量指数和的适当约束下,建立了系统的局部存在性。最后,我们证明了负初始能量的有限时间爆破结果。
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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来源期刊
Advances in Mathematical Physics
Advances in Mathematical Physics 数学-应用数学
CiteScore
2.40
自引率
8.30%
发文量
151
审稿时长
>12 weeks
期刊介绍: Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.
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