A Qualitative Study of (p, q) Singular Parabolic Equations: Local Existence, Sobolev Regularity and Asymptotic Behavior

Abstract

The purpose of the article is to study the existence, regularity, stabilization and blow-up results of weak solution to the following parabolic (p,q){(p,q)}-singular equation:

Keywords

• non-homogeneous elliptic operator
• singular nonlinearity
• blow-up result
• existence and stabilization of weak solution
• nonlinear semigroup theory
• regularity results
• 35k92
• 35k59
• 35j20
• 35j62