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pro vyhledávání: '"Dehman, Belhassen"'
Nonnegative measures that are solutions to a transport equation with continuous coefficients have been widely studied. Because of the low regularity of the associated vector field, there is no natural flow since nonuniqueness of integral curves is th
Externí odkaz:
http://arxiv.org/abs/2407.02259
The celebrated geometric control condition of Bardos, Lebeau, and Rauch is necessary and sufficient for wave observability [1,7] and exact controllability. It requires that any point in phase-space be transported by the generalized geodesic flow to t
Externí odkaz:
http://arxiv.org/abs/2407.02255
Autor:
Dehman, Belhassen, Zuazua, Enrique
The wave equation on a bounded domain of $\R^{n}$ with non homogeneous boundary Dirichlet data or sources supported on a subset of the boundary is considered. We analyze the problem of observing the source out of boundary measurements done away from
Externí odkaz:
http://arxiv.org/abs/2310.19456
For the wave and the Schr\"odinger equations we show how observability can be deduced from the observability of solutions localized in frequency according to a dyadic scale.
Externí odkaz:
http://arxiv.org/abs/2306.00536
The celebrated Rauch-Taylor/Bardos-Lebeau-Rauch geometric control condition is central in the study of the observability of the wave equation linking this property to high-frequency propagation along geodesics that are therays of geometric optics. Th
Externí odkaz:
http://arxiv.org/abs/2306.01023
Akademický článek
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Akademický článek
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Autor:
Dehman, Belhassen, Ervedoza, Sylvain
Publikováno v:
In Comptes rendus - Mathématique May 2017 355(5):499-514
The aim of this work is to prove global L p Carleman estimates for the Laplace operator in dimension d 3. Our strategy relies on precise Carleman estimates in strips, and a suitable gluing of local and boundary estimates obtained through a change of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______4074::043c5062d9d71a0fd881be2e9462ea9d
https://hal.science/hal-04148255
https://hal.science/hal-04148255
The celebrated Rauch-Taylor/Bardos-Lebeau-Rauch geometric control condition is central in the study of the observability of the wave equation linking this property to high-frequency propagation along geodesics that are therays of geometric optics. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::071417b17fdd04dd95c575f5b8a781e9
http://arxiv.org/abs/2306.01023
http://arxiv.org/abs/2306.01023