A note on a degenerate elliptic equation with applications for lakes and seas
Electronic journal of differential equations, Tome 2004 (2004)
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.
Classification :
35Q30, 35B40, 76D05
Keywords: regularity result, degenerate elliptic equation, geophysics, weighted Sobolev spaces, splitting projection method
Keywords: regularity result, degenerate elliptic equation, geophysics, weighted Sobolev spaces, splitting projection method
@article{EJDE_2004__2004__a108,
author = {Bresch, Didier and Lemoine, Jerome and Guillen-Gonzalez, Francisco},
title = {A note on a degenerate elliptic equation with applications for lakes and seas},
journal = {Electronic journal of differential equations},
year = {2004},
volume = {2004},
zbl = {1063.35131},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a108/}
}
TY - JOUR AU - Bresch, Didier AU - Lemoine, Jerome AU - Guillen-Gonzalez, Francisco TI - A note on a degenerate elliptic equation with applications for lakes and seas JO - Electronic journal of differential equations PY - 2004 VL - 2004 UR - http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a108/ LA - en ID - EJDE_2004__2004__a108 ER -
%0 Journal Article %A Bresch, Didier %A Lemoine, Jerome %A Guillen-Gonzalez, Francisco %T A note on a degenerate elliptic equation with applications for lakes and seas %J Electronic journal of differential equations %D 2004 %V 2004 %U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a108/ %G en %F EJDE_2004__2004__a108
Bresch, Didier; Lemoine, Jerome; Guillen-Gonzalez, Francisco. A note on a degenerate elliptic equation with applications for lakes and seas. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a108/