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Logarithmic up bounds for solutions of elliptic partial differential equations
Author:
Xiangsheng Xu
Journal:
Proc. Amer. Math. Soc. 139 (2011), 3485-3490
MSC (2010):
Primary 35B50, 35D30; Secondary 35J67, 35J15
Posted:
June 6, 2011
MathSciNet review:
2813380
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Additional Information
Abstract: In this paper we obtain a logarithmic up bound for the solution to an elliptic mixed boundary value problem. This is an improvement over the corresponding classical result in this area.
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Haïm
Brézis and Stephen
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Taniuchi, Limiting case of the Sobolev inequality in BMO, with
application to the Euler equations, Comm. Math. Phys.
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(2002k:46081), http://dx.doi.org/10.1007/s002200000267
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- H. Kozono and Y. Taniuchi, Limiting case of the Sobolev inequality in BMO with application to the Euler equations, Commun. Math. Phys., 214(2000), pp. 191-200. MR 1794270 (2002k:46081)
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Additional Information
Xiangsheng Xu
Affiliation:
Department of Mathematics and Statistics, Mississippi State University, Mississippi State, Mississippi 39762
DOI:
http://dx.doi.org/10.1090/S0002-9939-2011-10973-0
PII:
S 0002-9939(2011)10973-0
Keywords:
Logarithmic up bound,
mixed boundary value problem.
Received by editor(s):
July 7, 2010
Received by editor(s) in revised form:
July 13, 2010
Posted:
June 6, 2011
Communicated by:
Walter Craig
Article copyright:
© Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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