From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations
Language
en
Article de revue
This item was published in
Journal of Mathematical Analysis and Applications. 2019, vol. 469, n° 1, p. 202–219
Elsevier
English 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 ...Read more >
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.Read less <
English Keywords
Harmonic functions
Nodal set
Helmholtz–Laplace equation
Unique continuation
Heisenberg uniqueness pair
Schwarz reflection principle
Origin
Hal imported