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Titolo/Abstract/Parole chiave

The Cauchy problem for overdetermined systems in some classes of ultradifferentiable functions

Gallucci, Elisabetta (2015) The Cauchy problem for overdetermined systems in some classes of ultradifferentiable functions. [Preprint] (Inedito)

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    Abstract

    In this thesis we study the Cauchy problem for overdetermined systems of linear partial differential operators with constant coefficients in some spaces of ultradifferentiable functions in the sense of Braun, Meise and Taylor, for non-quasianalytic weight functions. We show that existence of solutions of the Cauchy problem is equivalent to the validity of a Phragmén-Lindelöf principle for entire and plurisubharmonic functions on some irreducible affine algebraic varieties.

    Tipologia del documento:Preprint
    Data:15 Ottobre 2015
    Istituzione:Università degli Studi di Ferrara
    Struttura:Dipartimento > Matematica
    Soggetti:Area 01 - Scienze matematiche e informatiche > MAT/05 Analisi matematica
    Parole chiave:Overdetermined systems, ultradifferentiable functions, Phragmén-Lindelöf principle
    Numero identificativo:383
    Depositato il:15 Ott 2015 09:33

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