Uniqueness for an inverse problem for a nonlinear parabolic system with an integral term by one-point Dirichlet data
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2055 | |
dc.contributor.author | Hömberg, Dietmar | |
dc.contributor.author | Lu, Shuai | |
dc.contributor.author | Yamamoto, Masahiro | |
dc.date.accessioned | 2016-03-24T17:36:51Z | |
dc.date.available | 2019-06-28T08:11:11Z | |
dc.date.issued | 2014 | |
dc.description.abstract | We consider an inverse problem arising in laser-induced thermotherapy, a minimally invasive method for cancer treatment, in which cancer tissues is destroyed by coagulation. For the dosage planning quantitatively reliable numerical simulation are indispensable. To this end the identification of the thermal growth kinetics of the coagulated zone is of crucial importance. Mathematically, this problem is a nonlinear and nonlocal parabolic heat source inverse problem. We show in this paper that the temperature dependent thermal growth parameter can be identified uniquely from a one-point measurement. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/3447 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2791 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Rigidity and classification results | eng |
dc.subject.other | fractional Laplacian | eng |
dc.subject.other | unbounded domains | eng |
dc.subject.other | overdetermined problems | eng |
dc.title | Uniqueness for an inverse problem for a nonlinear parabolic system with an integral term by one-point Dirichlet data | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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