Global existence for time-dependent damped wave equations with nonlinear memory
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 H1(Rn)×L2(Rn){H}^{1}\left({{\mathbb{R}}}^{n})\times {L}^{2}\left({{\mathbb{R}}}^{n}), n≥1n\ge 1.
| Published in: | Advances in Nonlinear Analysis |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-11-01
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| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2023-0111 |