On the smoothing property of linear delay partial differential equations

dc.contributor.authorAltmann, Robert
dc.contributor.authorZimmer, Christoph
dc.date.accessioned2021-12-17T10:14:57Z
dc.date.available2021-12-17T10:14:57Z
dc.date.issued2017-07-07
dc.description.abstractWe 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.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15890
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14663
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherlinear PDEsen
dc.subject.otherdelay differential equationsen
dc.subject.otherretardeden
dc.subject.otherneutralen
dc.subject.othersmoothing propertyen
dc.titleOn the smoothing property of linear delay partial differential equationsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2017, 07en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200035B65 Smoothness and regularity of solutions of PDEen
tub.subject.msc200035R10 Partial functional-differential or differential-difference equations, with or without deviating argumentsen
tub.subject.msc200065Q05 Difference and functional equations, recurrence relationsen
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