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arXiv · 1411.6896

Spectral properties of integral operators in problems of interface dynamics

Enza Orlandi
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Abstract

We consider a family of integral operators which appears when analyzing layered equilibria and front dynamics of a phase kinetics equation with a conservation law. We study the spectra of these operators in $L^2$ and derive a lower bound for the associated quadratic forms in terms of the $H^{-1}$ norm.

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Enza Orlandi. 2014-11-25. Spectral properties of integral operators in problems of interface dynamics. https://arxiv.org/abs/1411.6896

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