On the smoothing property of linear delay partial differential equations
| dc.contributor.author | Altmann, Robert | |
| dc.contributor.author | Zimmer, Christoph | |
| dc.date.accessioned | 2021-12-17T10:14:57Z | |
| dc.date.available | 2021-12-17T10:14:57Z | |
| dc.date.issued | 2017-07-07 | |
| dc.description.abstract | We consider linear partial differential equations with an additional delay term, which - under spatial discretization - lead to ordinary differential equations with fixed delay of retarded type. This means that the semi-discrete solution gains smoothness over time. For the concept of classical, mild, and weak solutions we analyse whether this effect also takes place in the original system. We show that some systems behave in a neutral way only. As a result, the smoothness of the exact solution remains unchanged instead of gaining smoothness over time. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15890 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14663 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | linear PDEs | en |
| dc.subject.other | delay differential equations | en |
| dc.subject.other | retarded | en |
| dc.subject.other | neutral | en |
| dc.subject.other | smoothing property | en |
| dc.title | On the smoothing property of linear delay partial differential equations | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2017, 07 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 35B65 Smoothness and regularity of solutions of PDE | en |
| tub.subject.msc2000 | 35R10 Partial functional-differential or differential-difference equations, with or without deviating arguments | en |
| tub.subject.msc2000 | 65Q05 Difference and functional equations, recurrence relations | en |
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