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arXiv · 1711.05520

From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations

Aingeru Fernandez-Bertolin·Karlheinz Gröchenig·Philippe Jaming
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Abstract

The aim of this paper is to establish uniqueness properties of solutions of the Helmholtz and Laplace equations. In particular, we show that if two solutions of such equations on a domain of R d agree on two intersecting d -- 1-dimensional submanifolds in generic position, then they agree everywhere.

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BibTeXRIS

Aingeru Fernandez-Bertolin, Karlheinz Gröchenig, Philippe Jaming. 2017-11-15. From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations. https://arxiv.org/abs/1711.05520

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