Pseudodifferential operators with non-regular  operator-valued symbols

Barraza Martinez, Bienvenido,; Denk, Robert; Hernandez Monzon, Jairo,

Pseudodifferential operators with non-regular operator-valued symbols

Dateien

307_Barraza_Denk.pdfGröße: 791.65 KBDownloads: 1086

Datum

2012

Autor:innen

Barraza Martinez, Bienvenido,

Denk, Robert

Hernandez Monzon, Jairo,

Publikationstyp

Working Paper/Technical Report

Publikationsstatus

Published

Zusammenfassung

In this paper, we consider pseudodifferential operators with operator-valued symbols and their mapping properties, without assumptions on the underlying Banach space. We show that, under suitable parabolicity assumptions, the realization of the operator in the standard Sobolev space generates an analytic semigroup. An application to non-autonomous pseudodifferential Cauchy problems gives the existence and uniqueness of a classical solution. Our approach is based on oscillatory integrals and kernel estimates for them.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Pseudodifferential operators, operator-valued symbols, generation of analytic semigroup

Zitieren

ISO 690

BARRAZA MARTINEZ, Bienvenido, Robert DENK, Jairo HERNANDEZ MONZON, 2012. Pseudodifferential operators with non-regular operator-valued symbols

BibTex

@techreport{BarrazaMartinez2012Pseud-20259,
  year={2012},
  series={Konstanzer Schriften in Mathematik},
  title={Pseudodifferential operators with non-regular  operator-valued symbols},
  number={307},
  author={Barraza Martinez, Bienvenido, and Denk, Robert and Hernandez Monzon, Jairo,}
}

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Universitätsbibliographie

Ja