A note on a degenerate elliptic equation with applications for lakes and seas
Date
2004-03-23
Authors
Bresch, Didier
Lemoine, Jerome
Guillen-Gonzalez, Francisco
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Regularity result, Degenerate elliptic equation, Geophysics, Weighted Sobolev spaces, Splitting projection method
Citation
Bresch, D., Lemoine, J., & Guíllen-Gonzalez, F. (2004). A note on a degenerate elliptic equation with applications for lakes and seas. <i>Electronic Journal of Differential Equations, 2004</i>(42), pp. 1-13.
Rights
Attribution 4.0 International