Global existence for time-dependent damped wave equations with nonlinear memory-Reference-Cited by-同舟云学术

Global existence for time-dependent damped wave equations with nonlinear memory

Published:2023-01-01 Issue:1 Volume:12 Page:
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Kirane Mokhtar¹,Fino Ahmad Z.²,Alsaedi Ahmed³,Ahmad Bashir³

Affiliation:

1. Department of Mathematics, Faculty of Arts and Science, Khalifa University , P.O. Box: 127788 , Abu Dhabi , UAE

2. College of Engineering and Technology, American University of the Middle East , Egaila 54200 , Kuwait

3. NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University , P.O. Box 80203 , Jeddah 21589 , Saudi Arabia

Abstract

Abstract In this article, we consider the Cauchy problem for a semi-linear wave equation with time-dependent damping and memory nonlinearity. Conditions for global existence are presented in the energy space

H 1 ( R n ) × L 2 ( R n )

{H}^{1}\left({{\mathbb{R}}}^{n})\times {L}^{2}\left({{\mathbb{R}}}^{n})

n ≥ 1

n\ge 1

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2023-0111/pdf

Reference16 articles.

1. M. D’Abbicco, A wave equation with structural damping and nonlinear memory, J. Nonlinear Differ. Equ. Appl. 21 (2014), 751–773.

2. M. D’Abbicco, The influence of a nonlinear memory on the damped wave equation, J. Nonlinear Analysis 95 (2014), 130–145.

3. M. D’Abbicco, S. Lucente, and M. Reissig, Semilinear wave equations with effective damping, Chin. Ann. Math. Serie B 34 (2013), no. 3, 345–380.

4. A. Z. Fino, Critical exponent for damped wave equations with nonlinear memory, J. Nonlinear Analysis 74 (2011), 5495–5505.

5. H. Fujita, On the blowing up of solutions of the problem for ut=Δu+u1+α, J. Fac. Sci. Univ. Tokyo 13 (1966), 109–124.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The posteriori analysis of the spectral element discretization of the wave equation;Boundary Value Problems;2024-05-15