Existence and blow-up of solutions for finitely degenerate semilinear parabolic equations with singular potentials

Existence and blow-up of solutions for finitely degenerate semilinear parabolic equations with singular potentials

In this article, we investigate the initial-boundary value problem for a class of finitely degenerate semilinear parabolic equations with singular potential term. By applying the Galerkin method and Banach fixed theorem we establish the local existence and uniqueness of the weak solution. On the oth...

Full description

Bibliographic Details
Main Author: Huiyang Xu
Format: Article
Language:English
Published: AIMS Press 2023-05-01
Series:Communications in Analysis and Mechanics
Subjects:
finitely degenerate parabolic equation
singular potentials
local existence
potential well
global existence
blow-up
decay estimate
Online Access:https://www.aimspress.com/article/doi/10.3934/cam.2023008?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/cam.2023008?viewType=HTML

Similar Items