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Transmission problems and spectral theory for singular integral operators on Lipschitz domains by Luis Escauriaza; Marius Mitrea is a Mathematics article available to read on EtoBox.
What is Transmission problems and spectral theory for singular integral operators on Lipschitz domains about?
We prove the well-posedness of the transmission problem for the Laplacian across a Lipschitz interface, with optimal non-tangential maximal function estimates, for data in Lebesgue and Hardy spaces on the boundary. As a corollary, we show that the spectral radius of the (adjoint) harmonic double layer potential K Ã in L p 0 ð@OÞ is less than 1 2 ; whenever O is a bounded convex domain and 1opp2:
Who reads Transmission problems and spectral theory for singular integral operators on Lipschitz domains?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Luis Escauriaza; Marius Mitrea
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)
- Published
- 2004
- Language
- EN
- Field
- Mathematics (Physical Sciences)