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Abstract.
Via Carleman estimates we prove uniqueness and continuous dependence results for the temporal traces of solutions to three overdetermined linear parabolic ill-posed problems with no initial condition, the first being integro-differential, the latter two being with deviating arguments. The overdetermination is prescribed in an open subset of the (space-time) lateral boundary.
Keywords: Ill-posed problems; linear parabolic integro-differential equations; linear parabolic equations with deviating arguments; uniqueness; continuous dependence results
Received: 2012-12-11
Published Online: 2013-04-03
Published in Print: 2013-04-01
© 2013 by Walter de Gruyter Berlin Boston