Absence of global solutions to wave equations with structural damping and nonlinear memory
We prove the nonexistence of global solutions for the following wave equations with structural damping and nonlinear memory source term utt+(−Δ)α2u+(−Δ)β2ut=∫0t(t−s)δ−1∣u(s)∣pds{u}_{tt}+{\left(-\Delta )}^{\tfrac{\alpha }{2}}u+{\left(-\Delta )}^{\tfrac{\beta }{2}}{u}_{t}=\underset{0}{\overset{t}{\int...
| 发表在: | Demonstratio Mathematica |
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| Main Authors: | , , |
| 格式: | 文件 |
| 语言: | 英语 |
| 出版: |
De Gruyter
2024-12-01
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| 主题: | |
| 在线阅读: | https://doi.org/10.1515/dema-2024-0048 |