From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations
Langue
en
Article de revue
Ce document a été publié dans
Journal of Mathematical Analysis and Applications. 2019, vol. 469, n° 1, p. 202–219
Elsevier
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
Harmonic functions
Nodal set
Helmholtz–Laplace equation
Unique continuation
Heisenberg uniqueness pair
Schwarz reflection principle
Origine
Importé de halUnités de recherche