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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Laplacians and Sobolev Gradients


Author: J. W. Neuberger
Journal: Proc. Amer. Math. Soc. 126 (1998), 2053-2060
MSC (1991): Primary 35A15; Secondary 47F05
MathSciNet review: 1443847
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Abstract: We describe a class of operators which fit the description of laplacians and which may be used to unify the construction of various Sobolev gradients.


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Additional Information

J. W. Neuberger
Affiliation: Department of Mathematics, University of North Texas, Denton, Texas 76203
Email: jwn@unt.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04251-8
PII: S 0002-9939(98)04251-8
Keywords: Laplacian, Sobolev gradient
Received by editor(s): March 15, 1996
Received by editor(s) in revised form: December 18, 1996
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 1998 American Mathematical Society