Kenneth H. Karlsen, Suleyman Ulusoy
Abstract:
We analyze entropy solutions for a class of Levy mixed
hyperbolic-parabolic equations containing a non-local (or fractional)
diffusion operator originating from a pure jump Levy process.
For these solutions we establish uniqueness (L^1 contraction property)
and continuous dependence results.
Submitted April 25, 2011. Published September 12, 2011.
Math Subject Classifications: 45K05, 35K65, 35L65; 35B65.
Key Words: Degenerate parabolic equation; conservation law; stability;
fractional Laplacian; non-local diffusion; entropy solution;
uniqueness; continuous dependence.
Show me the PDF file (338 KB), TEX file, and other files for this article.
Kenneth Hvistendahl Karlsen Centre of Mathematics for Applications University of Oslo P.O. Box 1053, Blindern, N-0316 Oslo, Norway email: kennethk@math.uio.no http://folk.uio.no/kennethk | |
Süleyman Ulusoy Department of Mathematics Faculty of Education, Zirve University Sahinbey, Gaziantep, 27270, Turkey email: suleyman.ulusoy@zirve.edu.tr http://person.zirve.edu.tr/ulusoy/ |
Return to the EJDE web page