Global existence and dynamic structure of solutions for damped wave equation involving the fractional Laplacian

We consider strong damped wave equation involving the fractional Laplacian with nonlinear source. The results of global solution under necessary conditions on the critical exponent are established. The existence is proved by using the Galerkin approximations combined with the potential well theory....

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Bibliographic Details
Main Authors: Bidi Younes, Beniani Abderrahmane, Zennir Khaled, Himadan Ahmed
Format: article
Language:EN
Published: De Gruyter 2021
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Online Access:https://doaj.org/article/133009d19c1045f295e3f2b9810a3b5c
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