Displaying similar documents to “Unique continuation principle for systems of parabolic equations”

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.

Exact null controllability of structurally damped and thermo-elastic parabolic models

Irena Lasiecka, Roberto Triggiani (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We show exact null-controllability for two models of non-classical, parabolic partial differential equations with distributed control: (i) second-order structurally damped equations, except for a limit case, where exact null controllability fails; and (ii) thermo-elastic equations with hinged boundary conditions. In both cases, the problem is solved by duality.