Department of Mathematics
University of South Florida
Tampa, FL 33620, USA
email: tbieske@math.usf.edu
Thomas Bieske
Abstract:
We define two notions of viscosity solutions to parabolic equations
in the Heisenberg group, depending on whether the test functions
concern only the past or both the past and the future.
We then exploit the Heisenberg geometry to prove a comparison principle
for a class of parabolic equations and show the sufficiency of
considering the test functions that concern only the past.
Submitted April 7, 2005. Published September 1, 2005.
Math Subject Classifications: 35K55, 22E25.
Key Words: Heisenberg group; viscosity solutions; parabolic equations.
Show me the PDF file (226K), TEX file, and other files for this article.
|
Thomas Bieske Department of Mathematics University of South Florida Tampa, FL 33620, USA email: tbieske@math.usf.edu |
|---|
Return to the EJDE web page