The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript

How close is the Dirichlet-to-Neumann (DtN) map to the square root of the corresponding boundary Laplacian? This question has been actively investigated in recent years. Somewhat surprisingly, a lot of techniques involved can be traced back to a newly rediscovered manuscript of Hörmander from the 1...

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Bibliographic Details
Main Authors: Girouard, A. (Author), Karpukhin, M. (Author), Levitin, M. (Author), Polterovich, I. (Author)
Format: Article
Language:English
Published: European Mathematical Society Publishing House 2022
Subjects:
Online Access:View Fulltext in Publisher