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 a portion S of the boundary and the restriction of u on S is flat on a segment \{0\} \times J with 0 \in S then u|S vanishes in a neighbourhood of \{0\} \times J.
Titolo: | Wave equation with Robin condition, quantitative estimates of strong unique continuation at the boundary |
Autori: | |
Data di pubblicazione: | 2016 |
Rivista: | |
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 a portion S of the boundary and the restriction of u on S is flat on a segment \{0\} \times J with 0 \in S then u|S vanishes in a neighbourhood of \{0\} \times J. |
Handle: | http://hdl.handle.net/11368/2882208 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.13137/2464-8728/13158 |
URL: | http://hdl.handle.net/10077/13158 |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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