Quasilinear parabolic and elliptic equations with singular potentials
type: Item
instance of: scholarly article
title: Quasilinear parabolic and elliptic equations with singular potentials
zbMATH Open document ID: 1454.35035
DOI: 10.1007/978-3-030-04161-8_17
author: Maria Michaela Porzio
publication date: 2019-07-02T00:00:00Z
review text: The author considers quasilinear parabolic equations with a Hardy potential and gives the asymptotic behavior of the solutions. It has been proven that all the solutions have the same asymptotic behavior: they all tend to the solution of the original problem which satisfies a zero initial condition. Moreover, estimates on the ``distance'' between the solutions of the evolution problem and the solutions of elliptic problems have been investigated by showing that in many cases (as for example the autonomous case) these last solutions are ``good approximations'' of the solutions of the original parabolic PDE. For the entire collection see [Zbl 1411.37003].
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35J62
zbMATH DE Number: 7075724
zbMATH Keywords: quasilinear parabolic equations
zbMATH Keywords: asymptotic behaviour of solutions
zbMATH Keywords: singular Hardy potential
reviewed by: Fatma Gamze Duzgun
MaRDI profile type: Publication
full work available at URL: 978-3-030-04161-8 17
OpenAlex ID: W2922132613
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description: scientific article; zbMATH DE number 7075724