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EnglishThe 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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| 10_RIMUT48.pdf | Documento in Versione Editoriale |  | Open Access Visualizza/Apri |
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