On the regularized trace of a second order differential operator

DOI10.1016/j.amc.2007.08.031zbMath1162.65043OpenAlexW2050428455MaRDI QIDQ2483213

Erdal Gül

Publication date: 28 April 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.08.031

zbMATH Keywords

Dirichlet boundary conditionsseparable Hilbert spaceadjoint operatorkernel operatororthonormal basis of eigenfunctionsoperator valued linear differential equationspectrum and regularized trace

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Linear boundary value problems for ordinary differential equations (34B05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (4)

Trace formulae for the matrix Schrödinger equation with energy-dependent potential ⋮ On spectral theory for Schrödinger operators with operator-valued potentials ⋮ A trace formula for discontinuous eigenvalue problem ⋮ Inverse problems on the least eigenvalue

Cites Work

• A generalization of the trace concept
• Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems
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