Maximal L p -regularity for a linear three-phase problem of parabolic–elliptic type

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dc.contributor.authorKotschote, Matthias
dc.date.accessioned2013-12-18T08:08:44Zdeu
dc.date.available2013-12-18T08:08:44Zdeu
dc.date.issued2010
dc.description.abstractWe prove maximal L p -regularity for a three-phase problem consisting of strongly coupled parabolic–elliptic equations with inhomogeneous data. This problem is related to a nonlinear problem which arises in chemically reacting systems incorporating electromigration. Particular features are a transmission condition and a jump condition on the boundary, which couple all unknowns. By means of localization the problem is reduced to model problems in full and half-space. To solve model problems, we make use of Dore–Venni Theory, real interpolation and the Mikhlin multiplier theorem in the operator-valued version. Here it is crucial to find conditions on the data that are necessary and sufficient for maximal L p -regularity of the respective solution.eng
dc.description.versionpublished
dc.identifier.citationJournal of Evolution Equations ; 10 (2010), 2. - S. 293-318deu
dc.identifier.doi10.1007/s00028-009-0050-6deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/25501
dc.language.isoengdeu
dc.legacy.dateIssued2013-12-18deu
dc.rightsterms-of-usedeu
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/deu
dc.subject.ddc510deu
dc.titleMaximal L <sub>p</sub> -regularity for a linear three-phase problem of parabolic–elliptic typeeng
dc.typeJOURNAL_ARTICLEdeu
dspace.entity.typePublication
kops.citation.bibtex
@article{Kotschote2010Maxim-25501,
  year={2010},
  doi={10.1007/s00028-009-0050-6},
  title={Maximal L <sub>p</sub> -regularity for a linear three-phase problem of parabolic–elliptic type},
  number={2},
  volume={10},
  issn={1424-3199},
  journal={Journal of Evolution Equations},
  pages={293--318},
  author={Kotschote, Matthias}
}
kops.citation.iso690KOTSCHOTE, Matthias, 2010. Maximal L p -regularity for a linear three-phase problem of parabolic–elliptic type. In: Journal of Evolution Equations. 2010, 10(2), pp. 293-318. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-009-0050-6deu
kops.citation.iso690KOTSCHOTE, Matthias, 2010. Maximal L p -regularity for a linear three-phase problem of parabolic–elliptic type. In: Journal of Evolution Equations. 2010, 10(2), pp. 293-318. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-009-0050-6eng
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kops.sourcefieldJournal of Evolution Equations. 2010, <b>10</b>(2), pp. 293-318. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-009-0050-6deu
kops.sourcefield.plainJournal of Evolution Equations. 2010, 10(2), pp. 293-318. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-009-0050-6deu
kops.sourcefield.plainJournal of Evolution Equations. 2010, 10(2), pp. 293-318. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-009-0050-6eng
kops.submitter.emailchristoph.petzmann@uni-konstanz.dedeu
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source.periodicalTitleJournal of Evolution Equations

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