On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources
type: Item
instance of: scholarly article
title: On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources
zbMATH Open document ID: 0836.35081
published in: Journal of Differential Equations
publication date: 1995-10-17T00:00:00Z
review text: A parabolic \(p\)-Laplacian equation with a nonlinear source is considered. The nonlinear source has a coefficient that depends strongly on the space variables. Solvability of the Cauchy problem is studied when the initial function is merely locally integrable or even a Radon measure. A uniqueness result is also shown, and existence of initial traces of nonnegative solutions is discussed.
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 806443
zbMATH Keywords: parabolic \(p\)-Laplacian
zbMATH Keywords: initial traces
author: Junning Zhao
reviewed by: Marek Fila
MaRDI profile type: Publication
full work available at URL: jdeq.1995.1132
OpenAlex ID: W1999243540
DOI: 10.1006/JDEQ.1995.1132
description: scientific article; zbMATH DE number 806443