Via Carleman estimates we determine sufficient conditions ensuring uniqueness and continuous dependence results for a severely ill-posed linear integro-differential boundary-value parabolic problem with no initial condition. This latter condition is replaced with an additional boundary information prescribing the temperature on an open subset of the geometric domain

Unique continuation and continuous dependence results for a severely ill-posed integro-differential parabolic problem / A. Lorenzi, F. Messina. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - 20:4(2012 Oct 02), pp. 615-636.

Unique continuation and continuous dependence results for a severely ill-posed integro-differential parabolic problem

A. Lorenzi;F. Messina
2012

Abstract

Via Carleman estimates we determine sufficient conditions ensuring uniqueness and continuous dependence results for a severely ill-posed linear integro-differential boundary-value parabolic problem with no initial condition. This latter condition is replaced with an additional boundary information prescribing the temperature on an open subset of the geometric domain
Ill-posed problems; linear parabolic integro-differential equations; no initial condition; uniqueness and continuous dependence results
Settore MAT/05 - Analisi Matematica
2-ott-2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/232221
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