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arxiv: 1610.03398 · v1 · pith:HJ4DTK3Snew · submitted 2016-10-11 · 🧮 math.AP

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

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keywords lateralcauchycontinuousdependenceequationsintegro-differentiallinearparabolic
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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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