Geodesic
A comparison principle for a class of subparabolic equations in Grushin-type spaces
Electronic journal of differential equations, Tome 2007 (2007)
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__a137,
     author = {Bieske,  Thomas},
     title = {A comparison principle for a class of subparabolic equations in {Grushin-type} spaces},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1112.35012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a137/}
}
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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__a137/