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Titolo/Abstract/Parole chiave

WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR p-EVOLUTION SYSTEMS OF PSEUDO-DIFFERENTIAL OPERATORS

Ascanelli, Alessia - Boiti, Chiara (2013) WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR p-EVOLUTION SYSTEMS OF PSEUDO-DIFFERENTIAL OPERATORS. [Preprint] (Sottomesso)

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    Abstract

    We study p-evolution pseudo-differential systems of the first order with coefficients in (t,x) and real characteristics. We find sufficient conditions for the well-posedness of the Cauchy problem in H∞. These conditions involve the behavior as x → ∞ of the coefficients, requiring some decay estimates to be satisfied.

    Tipologia del documento:Preprint
    Data:16 Gennaio 2013
    Istituzione:Università degli studi di Ferrara
    Struttura:Dipartimento > Matematica
    Soggetti:Area 01 - Scienze matematiche e informatiche > MAT/05 Analisi matematica
    Parole chiave:p-evolution equations, H∞, pseudo-differential operators
    Numero identificativo:377
    Depositato il:18 Gen 2013 12:21

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