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

Publikationstyp:	Preprint
URI (zitierfähiger Link):	http://nbn-resolving.de/urn:nbn:de:bsz:352-193526
Autor/innen:	Barraza Martinez, Bienvenido; Denk, Robert; Hernandez Monzon, Jairo
Erscheinungsjahr:	2012
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.
MSC-Klassifikation:	35S05, 47G30
Fachgebiet (DDC):	510 Mathematik
Normierte Schlagwörter (GND):	Parabolische Differentialgleichung
Schlagwörter:	Pseudodifferentialoperatoren, vektorwertige Banachräume
Link zur Lizenz:	Nutzungsbedingungen
Universitätsbibliographie:	Ja

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

@unpublished{BarrazaMartinez2012Analy-19352, title={Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces}, year={2012}, author={Barraza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

Hernandez Monzon, Jairo eng 2012-05-24T07:44:41Z Barraza Martinez, Bienvenido 2012-05-24T07:44:41Z 2012 Denk, Robert terms-of-use 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 Wpk(Rn,E). Here E is an arbitrary Banach space. We also apply the theory to solve non-autonomous parabolic pseudodifferential equations in Sobolev spaces. Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces Barraza Martinez, Bienvenido Hernandez Monzon, Jairo Denk, Robert