Regularity of BMO weak solutions to nonlinear parabolic systems via homotopy
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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.References
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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
- MR Author ID: 367842
- Email: dle@math.utsa.edu
- 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.
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 365 (2013), 2723-2753
- MSC (2010): Primary 35K65, 35B65
- DOI: https://doi.org/10.1090/S0002-9947-2012-05720-5
- MathSciNet review: 3020113