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Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces

Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces

Type of Publication: Preprint
URI (citable link): http://nbn-resolving.de/urn:nbn:de:bsz:352-193526
Author: Barraza Martinez, Bienvenido; Denk, Robert; Hernandez Monzon, Jairo
Year of publication: 2012
Summary:
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.
MSC Classification: 35S05, 47G30
Subject (DDC): 510 Mathematics
Controlled Keywords (GND): Parabolische Differentialgleichung
Keywords: Pseudodifferentialoperatoren, vektorwertige Banachräume
Link to License: In Copyright
Bibliography of Konstanz: Yes

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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@unpublished{BarrazaMartinez2012Analy-19352, title={Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces}, year={2012}, author={Barraza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} }

eng Hernandez Monzon, Jairo 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 W<sub>p</sub><sup>k</sup>(R<sup>n</sup>,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

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