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Notes on the regularity of harmonic map systems
Author(s):
Tao
Huang;
Changyou
Wang
Journal:
Proc. Amer. Math. Soc.
138
(2010),
2015-2023.
MSC (2010):
Primary 35J50, 35K40;
Secondary 58E20
Posted:
February 5, 2010
MathSciNet review:
2596037
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Abstract:
In this paper, we provide an alternative proof of  -regularity of continuous weak solutions to the system of harmonic maps or heat flow of harmonic maps by Riesz potential estimates between Morrey spaces.
References:
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Additional Information:
Tao
Huang
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
Email:
thuang@ms.uky.edu
Changyou
Wang
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
Email:
cywang@ms.uky.edu
DOI:
10.1090/S0002-9939-10-10344-X
PII:
S 0002-9939(10)10344-X
Received by editor(s):
June 12, 2009
Posted:
February 5, 2010
Additional Notes:
This work was partially supported by NSF grant 0601162
Communicated by:
Chuu-Lian Terng
Copyright of article:
Copyright
2010,
American Mathematical Society
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