Resonances for Laplacian perturbed on surface and cell membrane model

DOI10.1007/s40590-023-00553-9zbMath1527.35445MaRDI QIDQ6070439

Igor Yu. Popov, Tatiana S. Yurova

Publication date: 21 November 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

asymptoticsGreen functionresonanceself-adjoint extension

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Cell biology (92C37) Green's functions for elliptic equations (35J08)

Cites Work

• Unnamed Item
• Unnamed Item
• Spectral and scattering theory for the Schrödinger operators with penetrable wall potentials
• Boundary triples for Schrödinger operators with singular interactions on hypersurfaces
• Laplacians with singular perturbations supported on hypersurfaces
• The extension theory, domains with semitransparent surface and the model of quantum dot
• Asymptotics of the bound state induced by δ-interaction supported on a weakly deformed plane
• The theory of extensions and explicitly-soluble models
• EXTENSION THEORY AND LOCALIZATION OF RESONANCES FOR DOMAINS OF TRAP TYPE
• The extension theory and the opening in semitransparent surface
• WAVEGUIDES COUPLED THROUGH A SEMITRANSPARENT BARRIER: A BIRMAN–SCHWINGER ANALYSIS
• The operator extension theory, semitransparent surface and short range potential
• Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces
• Model of cell membrane in ultrasonic field