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Laplacians and Sobolev Gradients
Author(s):
J.
W.
Neuberger
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2053-2060.
MSC (1991):
Primary 35A15;
Secondary 47F05
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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.
References:
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- 6.
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- F. Riesz and B. Sz.-Nagy, Functional Analysis, Ungar, 1955. MR 17:175i
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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:
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
Copyright of article:
Copyright
1998,
American Mathematical Society
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