一类时变时滞对数非线性波动方程解的局部存在性和爆破性

Studia Universitatis BabesBolyai Geologia Pub Date : 2023-03-17 DOI:10.24193/subbmath.2023.1.13

A. Choucha, D. Ouchenane

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引用次数: 1

摘要

在这项工作中，我们关注一个具有时变延迟项的对数非线性波动方程问题。建立了局部存在性结果，并在适当条件下证明了初始能量为负的解的爆破结果。这改进了文献[11]中关于时变延迟的早期结果。

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Local existence and blow up of solutions to a logarithmic nonlinear wave equation with time-varying delay

"In this work, we are concerned with a problem of a logarithmic nonlinear wave equation with time-varying delay term. We established the local existence result and we proved a blow up result for the solution with negative initial energy under suitable conditions. This improves earlier results in the literature [11] for time-varying delay."

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Studia Universitatis BabesBolyai Geologia

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审稿时长

31 weeks