Tunneling estimates and approximate controllability for hypoelliptic equations

This memoir is concerned with quantitative unique continuation estimates for equations involving a “sum of squares” operator The first result is the tunneling estimate The main result is a stability estimate for solutions to the hypoelliptic wave equation We then prove the approximate controllabilit...

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Bibliographic Details
Main Authors:	Laurent, Camille, Léautaud, Matthieu
Format:	eBook Book
Language:	English
Published:	Providence, Rhode Island American Mathematical Society 2022
Edition:	1
Series:	Memoirs of the American Mathematical Society
Subjects:	Differential equations, Hypoelliptic Partial differential equations > Close-to-elliptic equations and systems > Hypoelliptic equations. msc Partial differential equations > Hyperbolic equations and systems > Wave equation. msc Partial differential equations > Parabolic equations and systems > Heat equation. msc Partial differential equations > Qualitative properties of solutions > Continuation and prolongation of solutions. msc Partial differential equations > Spectral theory and eigenvalue problems > Asymptotic distribution of eigenvalues and eigenfunctions. msc Systems theory; control > Controllability, observability, and system structure > Controllability. msc Systems theory; control > Controllability, observability, and system structure > Observability. msc eigenfunctions heat equation control theory hypoelliptic operators Stability estimates wave equation
ISBN:	1470451387, 9781470451387
ISSN:	0065-9266, 1947-6221
Online Access:	Get full text
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