On the Determinant of One-Dimensional Elliptic Boundary Value Problems
Matthias Lesch, J\"urgen Tolksdorf
TL;DR
This paper investigates the zeta-regularized determinant for elliptic boundary value problems on a line segment, encompassing both separated and non-separated boundary conditions, providing a unified analytical framework.
Contribution
It introduces a comprehensive framework for computing the zeta-regularized determinant applicable to various boundary conditions in one-dimensional elliptic problems.
Findings
Unified approach for separated and non-separated boundary conditions
Explicit formulas for determinants in specific cases
Extension of determinant theory to boundary value problems
Abstract
We discuss the regularized determinant of elliptic boundary value problems on a line segment. Our framework is applicable for separated and non-separated boundary conditions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.