Quantitative unique continuation for hyperbolic and hypoelliptic equations
Séminaire Laurent Schwartz — EDP et applications (2019-2020), Exposé no. 6, 26 p.

We review recent results of the authors concerning quantitative unique continuation estimates for operators with coefficients that are analytic in some (or all the) variables. We describe several applications for wave-like equations, but also equations based on hypoelliptic operators. These proceedings are a survey of the general results in [LL19] together with applications to wave equations [LL16] and to hypoelliptic equations [LL17, LL20b].

Publié le :
DOI : 10.5802/slsedp.137
Laurent, Camille 1 ; Léautaud, Matthieu 2

1 CNRS UMR 7598 and Sorbonne Universités UPMC Univ Paris 06 Laboratoire Jacques-Louis Lions F-75005, Paris, France
2 Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, CNRS, Université Paris-Saclay Bâtiment 307, 91405 Orsay Cedex France
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     title = {Quantitative unique continuation for hyperbolic and hypoelliptic equations},
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Laurent, Camille; Léautaud, Matthieu. Quantitative unique continuation for hyperbolic and hypoelliptic equations. Séminaire Laurent Schwartz — EDP et applications (2019-2020), Exposé no. 6, 26 p. doi : 10.5802/slsedp.137. http://www.numdam.org/articles/10.5802/slsedp.137/

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