Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity

Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity

We construct the global existence for a wave equation involving the fractional Laplacian with a logarithmic nonlinear source by using the Galerkin approximations. The corresponding results for equations with classical Laplacian are considered as particular cases of our assertions.

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Bibliographic Details
Main Authors: Bidi Younes, Abderrahmane Beniani, Khaled Zennir, Zayd Hajjej, Hongwei Zhang
Format: Article
Language:English
Published: AIMS Press 2024-09-01
Series:Electronic Research Archive
Subjects:
fractional laplacian
differential equations
global existence
partial differential equations
logarithmic nonlinearity
galerkin approximations
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024243
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https://www.aimspress.com/article/doi/10.3934/era.2024243

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