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arXiv · 1610.03398

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

A. Lorenzi·L. Lorenzi·M. Yamamoto
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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 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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A. Lorenzi, L. Lorenzi, M. Yamamoto. 2016-10-11. Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations. https://arxiv.org/abs/1610.03398

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