A strongly ill-posed integro-differential parabolic problem with integral boundary conditions

Autor:	Alfredo Lorenzi
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	ill-posed problems linear parabolic integro-differential equations no initial condition integral boundary conditions uniqueness continuous dependence results Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 18, Iss 3 (2013)
Druh dokumentu:	article
ISSN:	13926292 1392-6292 1648-3510
DOI:	10.3846/13926292.2013.804891
Popis:	Via Carleman estimates we prove uniqueness and continuous dependence results for an identification and strongly ill-posed linear integro-differential parabolic problem with the Dirichlet boundary condition, but with no initial condition. The additional information consists in a boundary linear integral condition involving the normal derivative of the temperature on the whole of the lateral boundary of the space-time domain.
Databáze:	Directory of Open Access Journals
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