Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces
| Type of Publication: | Journal article |
| Author: | Martinez, Bienvenido Barraza; Denk, Robert; Monzon, Jairo Hernandez |
| Year of publication: | 2014 |
| Published in: | Bulletin of the Brazilian Mathematical Society ; 45 (2014), 2. - pp. 197-242. - ISSN 1678-7544. - eISSN 1678-7714 |
| DOI (citable link): | https://dx.doi.org/10.1007/s00574-014-0046-x |
| 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 W p k (ℝ n , E) with k ∈ ℕ0, 1 ≤ p ≤ ∞. 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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| Subject (DDC): | 510 Mathematics |
| Keywords: | pseudodifferential operators, vector-valued Sobolev spaces, generation of analytic semigroup |
| Bibliography of Konstanz: | Yes |
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MARTINEZ, Bienvenido Barraza, Robert DENK, Jairo Hernandez MONZON, 2014. Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces. In: Bulletin of the Brazilian Mathematical Society. 45(2), pp. 197-242. ISSN 1678-7544. eISSN 1678-7714. Available under: doi: 10.1007/s00574-014-0046-x
@article{Martinez2014Analy-29284, title={Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces}, year={2014}, doi={10.1007/s00574-014-0046-x}, number={2}, volume={45}, issn={1678-7544}, journal={Bulletin of the Brazilian Mathematical Society}, pages={197--242}, author={Martinez, Bienvenido Barraza and Denk, Robert and Monzon, Jairo Hernandez} }
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