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Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces

Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces

Publikationstyp: Zeitschriftenartikel
Autor/innen: Martinez, Bienvenido Barraza; Denk, Robert; Monzon, Jairo Hernandez
Erscheinungsjahr: 2014
Erschienen in: Bulletin of the Brazilian Mathematical Society ; 45 (2014), 2. - S. 197-242. - ISSN 1678-7544. - eISSN 1678-7714
DOI (zitierfähiger Link): https://dx.doi.org/10.1007/s00574-014-0046-x
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 (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.
Fachgebiet (DDC): 510 Mathematik
Schlagwörter: pseudodifferential operators, vector-valued Sobolev spaces, generation of analytic semigroup
Universitätsbibliographie: Ja

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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} }

Martinez, Bienvenido Barraza 2014 Denk, Robert 2014-11-24T16:06:29Z Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces 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) with k ∈ ℕ<sub>0</sub>, 1 ≤ p ≤ ∞. Here E is an arbitrary Banach space. We also apply the theory to solve non-autonomous parabolic pseudodifferential equations in Sobolev spaces. 2014-11-24T16:06:29Z Martinez, Bienvenido Barraza eng Denk, Robert Monzon, Jairo Hernandez Monzon, Jairo Hernandez

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