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Title: Wave equation with Robin condition, quantitative estimates of strong unique continuation at the boundary
Authors: Sincich, Eva
Vessella, Sergio
Keywords: Stability EstimatesUnique Continuation PropertyHyperbolic EquationsRobin problem
Issue Date: 2016
Publisher: EUT Edizioni Università di Trieste
Series/Report no.: Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics
48 (2016)
Abstract: The main result of the present paper consists in a quanti-tative estimate of unique continuation at the boundary for solutions to the wave equation. Such estimate is the sharp quantitative counterpart of the following strong unique continuation property: let u be a solution to the wave equation that satisfies an homogeneous Robin condition on aportion S of the boundary and the restriction of u|S on S is flat on a segment {0}× J with 0 ∈ S then u|S vanishes in a neighbourhood of {0}× J.
ISSN: 0049-4704
eISSN: 2464-8728
DOI: 10.13137/2464-8728/13158
Appears in Collections:Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol.48 (2016)

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