Geodesic
A comparison principle for a class of subparabolic equations in Grushin-type spaces
Electronic Journal of Differential Equations, Tome 2007 (2007).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We define two notions of viscosity solutions to subparabolic equations in Grushin-type spaces, depending on whether the test functions concern only the past or both the past and the future. We then prove a comparison principle for a class of subparabolic equations and show the sufficiency of considering the test functions that concern only the past.
Classification : 35K55, 49L25, 53C17
Keywords: Grushin-type spaces, parabolic equations, viscosity solutions 
@article{EJDE_2007__2007__a37,
     author = {Bieske, Thomas},
     title = {A comparison principle for a class of subparabolic equations in {Grushin-type} spaces},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a37/}
}
TY  - JOUR
AU  - Bieske, Thomas
TI  - A comparison principle for a class of subparabolic equations in Grushin-type spaces
JO  - Electronic Journal of Differential Equations
PY  - 2007
VL  - 2007
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a37/
LA  - en
ID  - EJDE_2007__2007__a37
ER  - 
%0 Journal Article
%A Bieske, Thomas
%T A comparison principle for a class of subparabolic equations in Grushin-type spaces
%J Electronic Journal of Differential Equations
%D 2007
%V 2007
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a37/
%G en
%F EJDE_2007__2007__a37
Bieske, Thomas. A comparison principle for a class of subparabolic equations in Grushin-type spaces. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a37/