Ontology type: schema:Chapter
2014
AUTHORSPiermarco Cannarsa , Roberto Guglielmi
ABSTRACTWe 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... »
PAGES87-102
Geometric Control Theory and Sub-Riemannian Geometry
ISBN
978-3-319-02131-7
978-3-319-02132-4
http://scigraph.springernature.com/pub.10.1007/978-3-319-02132-4_6
DOIhttp://dx.doi.org/10.1007/978-3-319-02132-4_6
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