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dc.contributor.authorDevore, R.
dc.contributor.authorZuazua, E.
dc.date.accessioned2016-06-13T13:33:48Z
dc.date.available2016-06-13T13:33:48Z
dc.date.issued2014-12-31
dc.identifier.issn0218-2025
dc.identifier.urihttp://hdl.handle.net/20.500.11824/214
dc.description.abstractThe problem of recovering the initial temperature of a body from discrete temperature measurements made at later times is studied. While this problem has a general formulation, the results of this paper are only given in the simplest setting of a finite (one-dimensional), constant coefficient, linear rod. It is shown that with a judicious placement of a thermometer on this rod, the initial temperature profile of the rod can be completely determined by later time measurements. The paper then studies the number of measurements that are needed to recover the initial profile to a prescribed accuracy and provides an optimal reconstruction algorithm under the assumption that the initial profile is in a Sobolev class.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectTemperature measurement
dc.subjectDiscrete time sampling
dc.subjectFourier
dc.subjectHeat equation
dc.subjectinitial datum
dc.subjectinversion
dc.subjectOptimal recovery
dc.subjectsensing
dc.subjectRecovery
dc.titleRecovery of an initial temperature from discrete sampling
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1142/S0218202514500262
dc.relation.publisherversionhttp://www.worldscientific.com/doi/abs/10.1142/S0218202514500262
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/246775en_US
dc.relation.projectIDES/6PN/MTM2011-29306-C02-01en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleMathematical Models and Methods in Applied Sciencesen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España