On uniqueness of solutions to the surface electromigration equation
Analysis of PDEs
2023-03-08 v1 Functional Analysis
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.
Cite
@article{arxiv.2303.03899,
title = {On uniqueness of solutions to the surface electromigration equation},
author = {Lucrezia Cossetti and Luca Fanelli and Felipe Linares},
journal= {arXiv preprint arXiv:2303.03899},
year = {2023}
}