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Conference papers
Homogeneity applied to the controllability of a system of parabolic equations
Abstract : We consider a system of two parabolic equations with a forcing term present in one equation and a nonlinear coupling term of a particular type in the other one. We establish a local null controllability result, even if the linearized control system fails to be null controllable. The proof combines the return method, a Carleman inequality and an argument based on homogeneity. Our result can be applied to a reaction- diffusion system from Chemistry and to the Ginzburg-Landau equation.
https://hal-mines-paristech.archives-ouvertes.fr/hal-01263657
Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Thursday, January 28, 2016 - 9:01:41 AM
Last modification on : Thursday, November 18, 2021 - 4:04:32 AM
Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Thursday, January 28, 2016 - 9:01:41 AM
Last modification on : Thursday, November 18, 2021 - 4:04:32 AM