# Spectral properties of integral operators in problems of interface dynamics

Source: [Spectral properties of integral operators in problems of interface dynamics](<https://www.sota2.com/research/paper/68fa51561e209131ce972dd5>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T11:21:29.287Z

Authors: Enza Orlandi

Published: 2014-11-25T15:50:50.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1411.6896>)

[PDF](<https://arxiv.org/pdf/1411.6896.pdf>)