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
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