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

Abstract

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.

Keywords

• fractional laplacian
• differential equations
• global existence
• partial differential equations
• logarithmic nonlinearity
• galerkin approximations