From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations
Idioma
en
Article de revue
Este ítem está publicado en
Journal of Mathematical Analysis and Applications. 2019, vol. 469, n° 1, p. 202–219
Elsevier
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Harmonic functions
Nodal set
Helmholtz–Laplace equation
Unique continuation
Heisenberg uniqueness pair
Schwarz reflection principle
Orígen
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