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Controllability properties for some semilinear parabolic PDE with a quadratic gradient term

Abstract: We study several controllability properties for some semilinear parabolic PDE with a quadratic gradient term. For internal distributed controls, it is shown that the system is approximately and null controllable. The proof relies on the ColeHopf transformation. The same approach is used to deal with initial controls.

 Authorship: Fernández L.,

 Fuente: Applied Mathematics Letters, 2012, 25(12), 2184-2187

 Publisher: Elsevier

 Publication date: 01/12/2012

 No. of pages: 4

 Publication type: Article

 DOI: 10.1016/j.aml.2012.05.019

 ISSN: 0893-9659,1873-5452

 Publication Url: https://doi.org/10.1016/j.aml.2012.05.019