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Kuttler-Sigillito's Inequalities and Rellich-Christianson Identity
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Abstract
This article has two main objectives: The first one is to show Kuttler-Sigillito type inequalities involving the mixed Neumann-Dirichlet, mixed Steklov-Dirichlet, and mixed Robin-Dirichlet eigenvalue problems for the Laplacian. We will demonstrate these inequalities on different domains e.g., squares and balls. The second objective is to 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.
Title: Kuttler-Sigillito's Inequalities and Rellich-Christianson Identity
Description:
Abstract
This article has two main objectives: The first one is to show Kuttler-Sigillito type inequalities involving the mixed Neumann-Dirichlet, mixed Steklov-Dirichlet, and mixed Robin-Dirichlet eigenvalue problems for the Laplacian.
We will demonstrate these inequalities on different domains e.
g.
, squares and balls.
The second objective is to 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.
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Rezension von: Kuttler, Heinrich, Johannes Brenz
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Heinrich Kuttler: Johannes Brenz. Das schwäbische Herz der Reformation. Ein Lebensbild. Backnang: Selbstverlag, 1999, 39 S....