Inequalities for eigenvalues of Schr\'odinger operators with mixed boundary conditions

Autor:	Aldeghi, Nausica
Rok vydání:	2024
Předmět:	Mathematics - Spectral Theory Mathematical Physics Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We consider the eigenvalue problem for the Schr\"odinger operator on bounded, convex domains with mixed boundary conditions, where a Dirichlet boundary condition is imposed on a part of the boundary and a Neumann boundary condition on its complement. We prove inequalities between the lowest eigenvalues corresponding to two different choices of such boundary conditions on both planar and higher-dimensional domains. We also prove an inequality between higher order mixed eigenvalues and pure Dirichlet eigenvalues on multidimensional polyhedral domains.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.00019 Zobrazit plný text záznamu View this record from Arxiv