Quantitative unique continuation for hyperbolic and hypoelliptic equations | Zendy

Camille Laurent | Zendy; Matthieu Léautaud | Zendy

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Quantitative unique continuation for hyperbolic and hypoelliptic equations

Author(s) -

Camille Laurent,

Matthieu Léautaud

Publication year - 2020

Publication title -

séminaire laurent schwartz — edp et applications

Language(s) - English

Resource type - Journals

ISSN - 2266-0607

DOI - 10.5802/slsedp.137

Subject(s) - hypoelliptic operator , continuation , mathematics , analytic continuation , wave equation , hyperbolic partial differential equation , mathematical analysis , partial differential equation , method of characteristics , computer science , programming language

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].

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