A note on a degenerate elliptic equation with applications for lakes and seas

In this paper, we give an intermediate regularity result on a degenerate elliptic equation with a weight blowing up on the boundary. This kind of equations is encountoured when modelling some phenomena linked to seas or lakes. We give some examples where such regularity is useful.

Bibliographic Details
Main Authors: Didier Bresch, Jerome Lemoine, Francisco Guillen-Gonzalez
Format: Article
Language:English
Published: Texas State University 2004-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/42/abstr.html
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spelling doaj-4717d8f13f3348fb9936ea3274b77ec22020-11-24T23:57:10ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-03-01200442113A note on a degenerate elliptic equation with applications for lakes and seasDidier BreschJerome LemoineFrancisco Guillen-GonzalezIn this paper, we give an intermediate regularity result on a degenerate elliptic equation with a weight blowing up on the boundary. This kind of equations is encountoured when modelling some phenomena linked to seas or lakes. We give some examples where such regularity is useful. http://ejde.math.txstate.edu/Volumes/2004/42/abstr.htmlRegularity resultdegenerate elliptic equationgeophysicsweighted Sobolev spacessplitting projection method.
collection DOAJ
language English
format Article
sources DOAJ
author Didier Bresch
Jerome Lemoine
Francisco Guillen-Gonzalez
spellingShingle Didier Bresch
Jerome Lemoine
Francisco Guillen-Gonzalez
A note on a degenerate elliptic equation with applications for lakes and seas
Electronic Journal of Differential Equations
Regularity result
degenerate elliptic equation
geophysics
weighted Sobolev spaces
splitting projection method.
author_facet Didier Bresch
Jerome Lemoine
Francisco Guillen-Gonzalez
author_sort Didier Bresch
title A note on a degenerate elliptic equation with applications for lakes and seas
title_short A note on a degenerate elliptic equation with applications for lakes and seas
title_full A note on a degenerate elliptic equation with applications for lakes and seas
title_fullStr A note on a degenerate elliptic equation with applications for lakes and seas
title_full_unstemmed A note on a degenerate elliptic equation with applications for lakes and seas
title_sort note on a degenerate elliptic equation with applications for lakes and seas
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2004-03-01
description In this paper, we give an intermediate regularity result on a degenerate elliptic equation with a weight blowing up on the boundary. This kind of equations is encountoured when modelling some phenomena linked to seas or lakes. We give some examples where such regularity is useful.
topic Regularity result
degenerate elliptic equation
geophysics
weighted Sobolev spaces
splitting projection method.
url http://ejde.math.txstate.edu/Volumes/2004/42/abstr.html
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