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

被引：2

作者：

Yilmaz, Nebi ^{[1
]}

Piskin, Erhan ^{[2
]}

Celik, Ercan ^{[3
]}

机构：

[1] Dicle Univ, Inst Nat & Appl Sci, Dept Math, Diyarbakir, Turkiye

[2] Dicle Univ, Dept Math, Diyarbakir, Turkiye

[3] Kyrgyz Turkish Manas Univ, Dept Appl Math & Informat, Bishkek, Kyrgyzstan

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2023年 / 2023卷

关键词：

GLOBAL EXISTENCE; WAVE-EQUATION;

D O I：

10.1155/2023/8866861

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 p & sdot; and q & sdot;. Finally, we prove a finite-time blow-up result for negative initial energy.

引用

页数：13

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