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.
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Texas State University
2004-03-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2004/42/abstr.html |
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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 |
work_keys_str_mv |
AT didierbresch anoteonadegenerateellipticequationwithapplicationsforlakesandseas AT jeromelemoine anoteonadegenerateellipticequationwithapplicationsforlakesandseas AT franciscoguillengonzalez anoteonadegenerateellipticequationwithapplicationsforlakesandseas AT didierbresch noteonadegenerateellipticequationwithapplicationsforlakesandseas AT jeromelemoine noteonadegenerateellipticequationwithapplicationsforlakesandseas AT franciscoguillengonzalez noteonadegenerateellipticequationwithapplicationsforlakesandseas |
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