Kuttler-Sigillito's Inequalities and Rellich-Christianson Identity
Analysis of PDEs
2021-10-14 v1
Abstract
This article has two main objectives. The first one is to show Kuttler-Sigillito's type inequalities involving the mixed Neumann-Dirichlet, mixed Steklov-Dirichlet, and mixed Robin-Dirichlet eigenvalue problems. We will provide examples on e.g. squares and balls for the inequalities presented. Next we will show a Rellich identity for the mixed Neumann-Dirichlet problem. This identity will be used to prove a Rellich-Christianson identity for the Neumann-Dirichlet problem.
Keywords
Cite
@article{arxiv.2110.06801,
title = {Kuttler-Sigillito's Inequalities and Rellich-Christianson Identity},
author = {Stine Marie Berge},
journal= {arXiv preprint arXiv:2110.06801},
year = {2021}
}
Comments
17 pages, 2 Figures