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Well-posedness of fully nonlinear and nonlocal critical parabolic equations

Well-posedness of fully nonlinear and nonlocal critical parabolic equations In this paper, we prove the existence of smooth solutions in Sobolev spaces to fully nonlinear and nonlocal parabolic equations with critical index. Our argument is to transform the fully nonlinear equation into a quasi-linear nonlocal parabolic equation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Well-posedness of fully nonlinear and nonlocal critical parabolic equations

Journal of Evolution Equations , Volume 13 (1) – Mar 1, 2013

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Springer Basel
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-012-0172-0
Publisher site
See Article on Publisher Site

Abstract

In this paper, we prove the existence of smooth solutions in Sobolev spaces to fully nonlinear and nonlocal parabolic equations with critical index. Our argument is to transform the fully nonlinear equation into a quasi-linear nonlocal parabolic equation.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Mar 1, 2013

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