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math.CA2017
From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations
Aingeru Fernandez-Bertolin, Karlheinz Gröchenig, Philippe Jaming
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…
math.CA2017
On unique continuation for solutions of the Schr{ö}dinger equation on trees
Aingeru Fernandez-Bertolin, Philippe Jaming
We prove that if a solution of the time-dependent Schr{ö}dinger equation on an homogeneous tree with bounded potential decays fast at two distinct times then the solution is trivia…