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Isotopic families of contact manifolds for elliptic PDE
Author(s):
Mark
L.
Agranovsky;
E.
K.
Narayanan
Journal:
Proc. Amer. Math. Soc.
134
(2006),
2117-2123.
MSC (2000):
Primary 35J67;
Secondary 35B60
Posted:
January 17, 2006
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Additional information
Abstract:
A test for a function to be a solution of an elliptic PDE is given in terms of extensions, as solutions, from the boundaries inside the domains belonging to an isotopic family. It generalizes a result of Ehrenpreis for spheres moved along a straight line.
References:
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Additional Information:
Mark
L.
Agranovsky
Affiliation:
Department of Mathematics, Bar-Ilan University, 52900, Ramat-Gan, Israel
Email:
agranovs@macs.biu.ac.il
E.
K.
Narayanan
Affiliation:
Department of Mathematics, Indian Institute of Science, Bangalore - 560 012, India
Email:
naru@math.iisc.ernet.in
DOI:
10.1090/S0002-9939-06-08404-8
PII:
S 0002-9939(06)08404-8
Keywords:
Contact manifolds,
Dirichlet-Neumann problem,
Green's formula.
Received by editor(s):
October 11, 2004
Received by editor(s) in revised form:
February 21, 2005
Posted:
January 17, 2006
Additional Notes:
The first author was partially supported by Israel Scientific Foundation, grant No. 279/02-01.
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2006,
American Mathematical Society
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