Travel Time and Heat Equation. One space dimensional case

Simple item page
dc.creatorIKehata, Masaru
dc.date2006-11-15
dc.date.accessioned2026-07-07T07:32:55Z
dc.date.available2026-07-07T07:32:55Z
dc.descriptionThe extraction problem of information about the location and shape of the cavity from a single set of the temperature and heat flux on the boundary of the conductor and finite time interval is a typical and important inverse problem. Its one space dimensional version is considered. It is shown that the enclosure method developed by the author for elliptic equations yields the extraction formula of a quantity which can be interpreted as the {\it travel time} of a {\it virtual} signal with an arbitrary fixed propagation speed that starts at the known boundary and the initial time, reflects at another unknown boundary and returns to the original boundary.
dc.description19pages
dc.identifierhttps://arxiv.org/abs/math/0611447
dc.identifierhttp://arxiv.org/abs/math/0611447
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119281
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35R30;80A23
dc.titleTravel Time and Heat Equation. One space dimensional case
dc.typetext

Files

Collections

arXiv