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arXiv · 2009.11592

Inverse source problem and the continuation for a fourth-order parabolic equation in general dimensions

O. Yu. Imanuvilov·M. Yamamoto
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Abstract

In this article, for a fourth-order parabolic equation which is closely related for example to the Cahn-Hilliard equation, we study an inverse source problem by interior data and the continuation of solution from lateral Cauchy data. Our method relies on a Carleman estimate and proves conditional stability for both problems.

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O. Yu. Imanuvilov, M. Yamamoto. 2020-09-24. Inverse source problem and the continuation for a fourth-order parabolic equation in general dimensions. https://arxiv.org/abs/2009.11592

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