Didier Bresch, Jerome Lemoine, & Francisco Guillen-Gonzalez
Abstract:
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.
Submitted June 15, 2002. Published March 23, 2004.
Math Subject Classifications: 35Q30, 35B40, 76D05.
Key Words: Regularity result, degenerate elliptic equation, geophysics,
weighted Sobolev spaces, splitting projection method.
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| Didier Bresch Laboratoire de Modelisation et de Calcul - Imag (CNRS UMR 5523) Universite Joseph Fourier, 38041 Grenoble cedex, France email: Didier.Bresch@imag.fr | |
| Jerome Lemoine Laboratoire de Mathematiques Appliquees, Universite Blaise Pascal et C.N.R.S., 63177 Aubiere cedex, France email: Jerome.lemoine@math.univ-bpclermont.fr | |
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Francisco Guillen-Gonzalez Dpto. de Ecuaciones Diferenciales y Analisis Numerico Universidad de Sevilla Aptdo. 1160, 41080 Sevilla, Spain email: guillen@us.es |
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