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.
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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 |
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@unpublished{BarrazaMartinez2012Analy-19352, title={Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces}, year={2012}, author={Barraza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} }
Denk_Analytic semigroups.pdf | 328 |