Unique continuation and continuous dependence results for a severely ill-posed integrodifferential parabolic problem with a memory term in the principal part of the differential operator
Articolo
Data di Pubblicazione:
2013
Citazione:
Unique continuation and continuous dependence results for a severely ill-posed integrodifferential parabolic problem with a memory term in the principal part of the differential operator / A. Lorenzi, F. Messina. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - 21:2(2013 Apr), pp. 281-309. [10.1515/jip-2012-0047]
Abstract:
We prove uniqueness and continuous dependence results for a severely ill-posed
linear integrodifferential 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 .
The integral operators entering the equation are defined by integrals of Volterra type
with respect to time. In particular, the class of integrodifferential equations dealt with
in this paper include those occurring in the linear theory of heat flow in a rigid body
consisting of a material with thermal memory.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Ill-posed problems, linear parabolic integrodifferential equations, no initial
conditions, uniqueness, approximation results.
Elenco autori:
A. Lorenzi, F. Messina
Link alla scheda completa: