Critical regularity of nonlinearities in semilinear effectively damped wave models
In this paper we consider the Cauchy problem for the semilinear effectively damped wave equation $ \begin{equation*} u_{tt}-u_{xx}+b(t)u_{t} = |u|^{3}\mu(|u|), \, \, \, u(0, x) = u_{0}(x), \, \, \, u_{t}(0, x) = u_{1}(x). \end{equation*} $ Our goal is to propose sharp conditions on $ \mu $ to ob...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023236?viewType=HTML |