Nonlinear fractional convection-diffusion equations, with nonlocal and nonlinear fractional diffusion

We study nonlinear fractional convection-diffusion equations with nonlocal and nonlinear fractional diffusion. By the idea of Kru\v{z}kov (1970), entropy sub- and supersolutions are defined in order to prove well-posedness under the assumption that the solutions are elements in $L^{\infty}(\mathbb{R...

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Bibliographic Details
Main Author: Endal, Jørgen
Format: Others
Language:English
Published: Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag 2013
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-22955