Preprint 2010-024

Strong traces for entropy solutions of heterogeneous ultra-parabolic equations

Jelena Aleksić and Darko Mitrovic

Abstract: We prove that entropy solutions of heterogeneous ultra-parabolic equations satisfying a traceability condition admit strong traces at t = 0. In particular, this property is satisfied by entropy solutions to heterogeneous scalar conservation laws. The tools that we are using are (Panov’s extension of) H-measures and the kinetic approach.

Paper:: Available as PDF (228 Kbytes).
Author(s):: Jelena Aleksić; Darko Mitrovic
Submitted by:: matematika (at) t-com me; 2010-12-18.

Notice: In order to make it harder for spammers to harvest email addresses, we have obfuscated the email addresses above by replacing each “@” sign by “ (at) ” and each dot by a space. The reason you are seeing this notice at all is that you seem to use a browser which does not support javascript, or you have javascript turned off. If you read this page with javascript on, this paragraph should go away, and email addresses are de-obfuscated.

© The copyright for the following documents lies with their respective authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server conservation (at) math ntnu no

Last modified: 2010-12-19 20:24 UTC