Null controllability in large time for the parabolic Grushin operator with singular potential View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2014

AUTHORS

Piermarco Cannarsa , Roberto Guglielmi

ABSTRACT

We investigate the null controllability property for the parabolic Grushin equation with an inverse square singular potential. Thanks to a Fourier decomposition for the solution of the equation, we can reduce the problem to the validity of a uniform observability inequality with respect to the Fourier frequency. Such an inequality is obtained by means of a suitable Carleman estimate, with an adapted spatial weight function. We thus show that null controllability holds in large time, as in the case of the Grushin operator without potential. More... »

PAGES

87-102

Book

TITLE

Geometric Control Theory and Sub-Riemannian Geometry

ISBN

978-3-319-02131-7
978-3-319-02132-4

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-02132-4_6

DOI

http://dx.doi.org/10.1007/978-3-319-02132-4_6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1047657339


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