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Boundary
integral methods for harmonic differential forms
in Lipschitz domains
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Boundary
integral methods for harmonic differential forms
in Lipschitz domains
Dorina Mitrea and Marius Mitrea
Abstract.
A layer potential based approach for boundary value problems
for harmonic
differential forms in nonsmooth domains is developed. This allows a
complete and unified treatment of several fundamental problems in
potential theory.
Copyright American Mathematical Society 1996
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Article Info
- ERA Amer. Math. Soc. 02 (1996), pp. 92-97
- Publisher Identifier: S 1079-6762(96)00012-1
- 1991 Mathematics Subject Classification. Primary 35J55;
Secondary 42B20
- Key words and phrases. Harmonic differential forms, Lipschitz
domains, layer potentials
- Received by the editors July 25, 1996
- Communicated by Michael Taylor
- Comments (When Available)
Dorina Mitrea
Department of Mathematics, University of
Missouri-Columbia, Columbia, MO 65211
E-mail address: dorina@sidon.math.missouri.edu
Marius Mitrea
Department of Mathematics, University of
Missouri-Columbia, Columbia, MO 65211
E-mail address: marius@msindy2.math.missouri.edu
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