Via Carleman estimates we prove uniqueness and continuous dependence results for lateral Cauchy problems for linear integro-differential parabolic equations without initial conditions. The addition al information supplied prescribes the conormal derivative of the temperature on a relatively open subset of the lateral boundary of the space-time domain.
Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations / Lorenzi, Alfredo; Lorenzi, Luca Francesco Giuseppe; Yamamoto, Masahiro. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 1569-3945. - 25:5(2017), pp. 617-631. [10.1515/jiip-2016-0066]
Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations
LORENZI, Luca Francesco Giuseppe;
2017-01-01
Abstract
Via Carleman estimates we prove uniqueness and continuous dependence results for lateral Cauchy problems for linear integro-differential parabolic equations without initial conditions. The addition al information supplied prescribes the conormal derivative of the temperature on a relatively open subset of the lateral boundary of the space-time domain.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
