On the Behavior of Eigenfunctions on Surfaces of Revolution.

In this paper, we aim to analyze the behavior of solutions to the semi-classical Dirichlet eigenfunction problem on surfaces of revolution. We will first construct a surface with a few specific properties of interest. Then we will conduct some estimates on the L2 mass of eigenfunctions within specific regions of our surface.

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Publication Details

Journal
UNC Libraries
Published
2025-06-17
DOI
https://doi.org/10.17615/ffhb-4707
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00
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article

On the Behavior of Eigenfunctions on Surfaces of Revolution.

UNC Libraries
Nonlinear Partial Differential Equations
article

On the Behavior of Eigenfunctions on Surfaces of Revolution.

article en

Abstract

In this paper, we aim to analyze the behavior of solutions to the semi-classical Dirichlet eigenfunction problem on surfaces of revolution. We will first construct a surface with a few specific properties of interest. Then we will conduct some estimates on the L2 mass of eigenfunctions within specific regions of our surface.

UNC Libraries
University of North Carolina at Chapel Hill (US)
Openalex Percentile: Top 42%
Nonlinear Partial Differential Equations
DOIOpen Access PDFOpenAlex
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On the Behavior of Eigenfunctions on Surfaces of Revolution. · UNC Libraries (2025) | TGRS Research Map | TGRS