Spectra of Schrödinger operators on planar domains with ends with unbounded cross-section

DOI<139::AID-MMA29>3.0.CO;2-H 10.1002/(SICI)1099-1476(19990125)22:2<139::AID-MMA29>3.0.CO;2-HzbMath0941.35058OpenAlexW1970631880MaRDI QIDQ4238740

Julian Edward

Publication date: 13 August 2000

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(19990125)22:2<139::aid-mma29>3.0.co;2-h

zbMATH Keywords

mixed boundary conditionsembedded eigenvaluesKato methodLame coefficientsMousse method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) General theory of partial differential operators (47F05)

Cites Work

• Absence of singular continuous spectrum for certain self-adjoint operators
• Spectral analysis of second-order elliptic operators on noncompact manifolds
• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• The asymptotic behavior of the solutions of \((\Delta + \lambda )u=0\) in a domain with the unbounded boundary
• Examples of embedded eigenvalues for the Dirichlet-Laplacian in domains with infinite boundaries
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• Spectral Theory for the Neumann Laplacian on Planar Domains With Horn-Like Ends
• THE PRINCIPLE OF LIMIT AMPLITUDE