On the Schr�dinger equation and the eigenvalue problem

1983/09/01 by Peter Li, Shing-Tung Yau, Shing Tung Yau · 9 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Boundary (topology) #Boundary value problem #Bounded function #Combinatorics #Dirichlet boundary condition #Dirichlet distribution #Domain (mathematical analysis) #Eigenvalues and eigenvectors #Lambda #Mathematical analysis #Mathematical physics #Mathematics #Numerical methods in inverse problems #Operator (biology) #Physics #Quantum mechanics #Spectral Theory in Mathematical Physics #Upper and lower bounds

paper · doi:10.1007/bf01213210

crossref issued 1983/09/01 · crossref published 1983/09/01 · crossref published-print 1983/09/01 · openalex publication_date 1983/09/01 · crossref created 2005/02/25 · crossref deposited 2019/05/02 · openalex created_date 2025/10/10 · crossref indexed 2026/06/20 · openalex updated_date 2026/07/23

Citations

• Problèmes isopérimétriques et espaces de Sobolev

Cited by

• Perspectives on geometric analysis
• Stabilization to trajectories for parabolic equations
• A positive density analogue of the Lieb–Thirring inequality
• On Some Sharp Spectral Inequalities for Schrödinger Operators on Semiaxis
• Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials
• Energy Error Estimates of Subspace Method and Multigrid Algorithm for Eigenvalue Problems
• Upper Bound Estimates for Eigenvalues of the Poly-Laplacian
• Higher Order Approximation for Stochastic Space Fractional Wave Equation Forced by an Additive Space-Time Gaussian Noise
• Shing-Tung Yau [wikipedia]