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Zbl 0910.35039
Mitrea, Dorina; Mitrea, Marius
Uniqueness for inverse conductivity and transmission problems in the class of Lipschitz domains. (English)
[J] Commun. Partial Differ. Equations 23, No.7-8, 1419-1448 (1998). ISSN 0360-5302; ISSN 1532-4133/e

The authors consider well-posedness of the direct and well-definiteness of the inverse conductive boundary value problems for the Helmholtz equation and transmission problems for the Maxwell equations. For the above problems the results known for smooth domains are generalized to Lipschitz domains of ${\Bbb R}^3$.
[M.Perelmuter (Ky{\" i}v)]

MSC 2000:: *35J05 Laplace equation, etc.
35Q60 PDE of electromagnetic theory and optics
35R30 Inverse problems for PDE

Keywords: well-posedness; transmission problems

Cited in: Zbl 1063.35151

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