双阻尼项非线性记忆波动方程全局解的不存在性

IF 0.7 Q2 MATHEMATICS

Tbilisi Mathematical Journal Pub Date : 2020-01-01 DOI:10.32513/tbilisi/1593223225

M. Berbiche, M. Terchi

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引用次数: 0

摘要

本文研究了多维空间中具有非线性记忆的具有摩擦和位移相关阻尼项的波动方程的柯西问题$\mathbb{R}^{n}$, $n\geq 1$，我们将证明任意维空间的局部解的存在唯一性定理和全局弱解的不存在性定理。

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On the nonexistence of global solutions for wave equations with double damping terms and nonlinear memory

In this work, we consider the Cauchy problem for a wave equations with frictional and displacement dependent damping terms with nonlinear memory in multi-dimensional space $\mathbb{R}^{n}$, $n\geq 1$, we will prove the existence and uniqueness of the local solution and the nonexistence of global weak solutions theorems for any dimension space.

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Tbilisi Mathematical Journal MATHEMATICS-

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