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arXiv · 2303.03899

On uniqueness of solutions to the surface electromigration equation

Lucrezia Cossetti·Luca Fanelli·Felipe Linares
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Abstract

In this paper we investigate on uniqueness properties of solutions to the surface electromigration (SEM) equation, which is a generalisation of the more classical Zakharov-Kuznetsov equation of plasma physics with non-local perturbation terms. We will show that if the difference of two solutions has a sufficiently strong spatial decay at two different instants of time, then the two solutions coincide on the whole interval of time.

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Lucrezia Cossetti, Luca Fanelli, Felipe Linares. 2023-03-07. On uniqueness of solutions to the surface electromigration equation. https://arxiv.org/abs/2303.03899

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