Displaying similar documents to “New strengthened Carleman's inequality and Hardy's inequality.”

Unique continuation principle for systems of parabolic equations

Otared Kavian, Luz de Teresa (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we prove a unique continuation result for a cascade system of parabolic equations, in which the solution of the first equation is (partially) used as a forcing term for the second equation. As a consequence we prove the existence of -insensitizing controls for some parabolic equations when the control region and the observability region do not intersect.

Calculations in new sequence spaces

Bruno de Malafosse (2007)

Archivum Mathematicum

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In this paper we define new sequence spaces using the concepts of strong summability and boundedness of index p > 0 of r -th order difference sequences. We establish sufficient conditions for these spaces to reduce to certain spaces of null and bounded sequences.