A comparison principle for a class of subparabolic equations in Grushin-type spaces
Date
2007-02-14
Authors
Bieske, Thomas
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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.
Description
Keywords
Grushin-type spaces, Parabolic equations, Viscosity solutions
Citation
Bieske, T. (2007). A comparison principle for a class of subparabolic equations in Grushin-type spaces. <i>Electronic Journal of Differential Equations, 2007</i>(30), pp. 1-9.
Rights
Attribution 4.0 International