Some results about a quasilinear singular parabolic equation
type: Item
instance of: scholarly article
title: Some results about a quasilinear singular parabolic equation
zbMATH Open document ID: 1254.35123
author: Mehdi Badra
author: Kaushik Bal
author: Jacques Giacomoni
publication date: 2012-09-05T00:00:00Z
full work available at URL: dea-03-37.pdf
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K67
zbMATH DE Number: 6076987
zbMATH Keywords: singular nonlinearity
zbMATH Keywords: time-semi-discretization
zbMATH Keywords: Besov spaces
zbMATH Keywords: homogeneous Dirichlet boundary conditions
zbMATH Keywords: existence and nonexistence results
MaRDI profile type: Publication
OpenAlex ID: W2019525514
Wikidata QID: Q115158028
DOI: 10.7153/DEA-03-37
published in: Differential Equations and Applications
review text: The authors are concerned with the quasilinear parabolic equation \(u_t-\Delta u=u^{-\delta}+f(x,t)\) in \(\Omega\times (0,T)\) subject to homogeneous Dirichlet boundary conditions and initial data \(u(x,0)=u_0(x)\) in \(\Omega\). Using a semidiscretization in the time variable, various existence and nonexistence results are obtained for weak solutions.
reviewed by: Marius Ghergu
description: scientific article; zbMATH DE number 6076987