Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations

11 Oct 2016 Lorenzi A. Lorenzi L. Yamamoto M.

Via Carleman estimates we prove uniqueness and continuous dependence results for lateral Cauchy problems for linear integro-differential parabolic equations without initial conditions. The additional information supplied prescribes the conormal derivative of the temperature on a relatively open subset of the lateral boundary of the space-time domain...

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