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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Regularity of BMO weak solutions to nonlinear parabolic systems via homotopy


Author: Dung Le
Journal: Trans. Amer. Math. Soc. 365 (2013), 2723-2753
MSC (2010): Primary 35K65, 35B65
Published electronically: August 27, 2012
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Abstract: This paper introduces a new technique, using the so-called nonlinear heat approximation and BMO preserving homotopy, to investigate regularity properties of BMO weak solutions of strongly coupled nonlinear parabolic systems consisting of more than one equation defined on a domain of any dimension.


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Additional Information

Dung Le
Affiliation: Department of Mathematics, University of Texas at San Antonio, One UTSA Circle, San Antonio, Texas 78249
Email: dle@math.utsa.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-2012-05720-5
PII: S 0002-9947(2012)05720-5
Keywords: Parabolic systems, Hölder regularity, BMO weak solutions.
Received by editor(s): June 10, 2011
Received by editor(s) in revised form: September 26, 2011
Published electronically: August 27, 2012
Additional Notes: The author was partially supported by NSF grant DMS0707229.
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.