## Archival Version

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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*

**Retrieve entire article **

#### 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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