TITLE:
Global Existence and Decay of Solutions for a Class of a Pseudo-Parabolic Equation with Singular Potential and Logarithmic Nonlocal Source
AUTHORS:
Xiaoxin Yang
KEYWORDS:
Nonlocal Parabolic Equation, Singular Potential, Logarithmic Nonlocal Source, Global Existence, Decay
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.1,
January
29,
2024
ABSTRACT: This article investigates the well posedness and asymptotic behavior of Neumann initial boundary value problems for a class of pseudo-parabolic equations with singular potential and logarithmic nonlinearity. By utilizing cut-off techniques and combining with the Faedo Galerkin approximation method, local solvability was established. Based on the potential well method and Hardy Sobolev inequality, derive the global existence of the solution. In addition, we also obtained the results of decay.