Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces

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

Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces

Dateien

Denk_Analytic semigroups.pdfGröße: 538.78 KBDownloads: 277

Datum

2012

Autor:innen

Barraza Martinez, Bienvenido

Denk, Robert

Hernandez Monzon, Jairo

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-193526

Link zur Lizenz

Urheberrechtlich geschützt

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

In this paper we study continuity and invertibility of pseudodifferential operators with non-regular Banach space valued symbols. The corresponding pseudodifferential operators generate analytic semigroups on the Sobolev spaces W_p^k(Rⁿ,E). Here E is an arbitrary Banach space. We also apply the theory to solve non-autonomous parabolic pseudodifferential equations in Sobolev spaces.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Pseudodifferentialoperatoren, vektorwertige Banachräume

Zitieren

ISO 690

BARRAZA MARTINEZ, Bienvenido, Robert DENK, Jairo HERNANDEZ MONZON, 2012. Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces

BibTex

@unpublished{BarrazaMartinez2012Analy-19352,
  year={2012},
  title={Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces},
  author={Barraza Martinez, Bienvenido and Denk, Robert and Hernandez Monzon, Jairo}
}

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Universitätsbibliographie

Ja