Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity

Kurzanzeige
dc.contributor.authorDenk, Robert
dc.contributor.authorSaal, Jürgen
dc.contributor.authorSeiler, Jörg
dc.date.accessioned2022-09-15T12:24:58Z
dc.date.available2022-09-15T12:24:58Z
dc.date.issued2008eng
dc.description.abstractWe prove a maximal regularity result for operators corresponding to rotation invariant symbols (in space) which are inhomogeneous in space and time. Symbols of this type frequently arise in the treatment of half-space models for (free) boundary-value problems. The result is obtained by extending the Newton polygon approach to variables living in complex sectors and combining it with abstract results on the H∞-calculus and R-bounded operator families. As an application, we derive maximal regularity for the linearized Stefan problem with Gibbs-Thomson correction.eng
dc.description.versionpublishedeng
dc.identifier.doi10.1134/S1061920808020040eng
dc.identifier.ppn278000908deu
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/524.2
dc.language.isoengeng
dc.rightsterms-of-use
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dc.subject.ddc510eng
dc.subject.msc42B15
dc.subject.msc35M10
dc.titleInhomogeneous symbols, the Newton polygon, and maximal L<sup>p</sup>-regularityeng
dc.typeJOURNAL_ARTICLEeng
dspace.entity.typePublication
kops.citation.bibtex
@article{Denk2008Inhom-524.2,
  year={2008},
  doi={10.1134/S1061920808020040},
  title={Inhomogeneous symbols, the Newton polygon, and maximal L<sup>p</sup>-regularity},
  number={2},
  volume={15},
  issn={1061-9208},
  journal={Russian Journal of Mathematical Physics},
  pages={171--191},
  author={Denk, Robert and Saal, Jürgen and Seiler, Jörg}
}
kops.citation.iso690DENK, Robert, Jürgen SAAL, Jörg SEILER, 2008. Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity. In: Russian Journal of Mathematical Physics. Springer. 2008, 15(2), pp. 171-191. ISSN 1061-9208. eISSN 1555-6638. Available under: doi: 10.1134/S1061920808020040deu
kops.citation.iso690DENK, Robert, Jürgen SAAL, Jörg SEILER, 2008. Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity. In: Russian Journal of Mathematical Physics. Springer. 2008, 15(2), pp. 171-191. ISSN 1061-9208. eISSN 1555-6638. Available under: doi: 10.1134/S1061920808020040eng
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kops.sourcefieldRussian Journal of Mathematical Physics. Springer. 2008, <b>15</b>(2), pp. 171-191. ISSN 1061-9208. eISSN 1555-6638. Available under: doi: 10.1134/S1061920808020040deu
kops.sourcefield.plainRussian Journal of Mathematical Physics. Springer. 2008, 15(2), pp. 171-191. ISSN 1061-9208. eISSN 1555-6638. Available under: doi: 10.1134/S1061920808020040deu
kops.sourcefield.plainRussian Journal of Mathematical Physics. Springer. 2008, 15(2), pp. 171-191. ISSN 1061-9208. eISSN 1555-6638. Available under: doi: 10.1134/S1061920808020040eng
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source.publisherSpringereng

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