Discrete Fourier multipliers and cylindrical boundary value problems
| dc.contributor.author | Denk, Robert | |
| dc.contributor.author | Nau, Tobias | |
| dc.date.accessioned | 2011-04-15T07:41:23Z | deu |
| dc.date.available | 2011-04-15T07:41:23Z | deu |
| dc.date.issued | 2011 | deu |
| dc.description.abstract | We consider operator-valued boundary value problems in (0;2π)n with periodic or, more generally, v-periodic boundary conditions. Using the concept of discrete vector-valued Fourier multipliers, we give equivalent conditions for the unique solvability of the boundary value problem. As an application, we study vector-valued parabolic initial boundary value problems in cylindrical domains (0;2π)n x V with v-periodic boundary conditions in the cylindrical directions. We show that under suitable assumptions on the coefficients, we obtain maximal Lq-regularity for such problems. | deu |
| dc.description.version | published | |
| dc.identifier.ppn | 347326099 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/12627 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2011-04-15 | deu |
| dc.relation.ispartofseries | Konstanzer Schriften in Mathematik | |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject | Discrete Fourier multipliers | deu |
| dc.subject | maximal regularity | deu |
| dc.subject | bounded cylindrical domains | deu |
| dc.subject.ddc | 510 | deu |
| dc.subject.msc | 35J40, 35K46 | deu |
| dc.title | Discrete Fourier multipliers and cylindrical boundary value problems | eng |
| dc.type | WORKINGPAPER | deu |
| dspace.entity.type | Publication | |
| kops.bibliographicInfo.seriesNumber | 279 | deu |
| kops.citation.bibtex | @techreport{Denk2011Discr-12627,
year={2011},
series={Konstanzer Schriften in Mathematik},
title={Discrete Fourier multipliers and cylindrical boundary value problems},
number={279},
author={Denk, Robert and Nau, Tobias}
} | |
| kops.citation.iso690 | DENK, Robert, Tobias NAU, 2011. Discrete Fourier multipliers and cylindrical boundary value problems | deu |
| kops.citation.iso690 | DENK, Robert, Tobias NAU, 2011. Discrete Fourier multipliers and cylindrical boundary value problems | eng |
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| kops.identifier.nbn | urn:nbn:de:bsz:352-126273 | deu |
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| kops.submitter.email | robert.denk@uni-konstanz.de | deu |
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