The \(L^{p}\)-\(L^{p'}\) estimate for the Schrödinger equation on the half-line

DOI10.1016/S0022-247X(03)00093-3zbMath1032.34081arXivmath-ph/0301012OpenAlexW2314729829MaRDI QIDQ1399314

Ricardo Weder

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0301012

zbMATH Keywords

Jost solutionspropagator estimates

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40)

Related Items (13)

Dispersive effects for the Schrödinger equation on the tadpole graph ⋮ Dispersion estimates for spherical Schrödinger equations ⋮ Weighted energy decay for 3D Klein-Gordon equation ⋮ Scattering properties and dispersion estimates for a one‐dimensional discrete Dirac equation ⋮ Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field ⋮ Scattering for the forced non-linear Schrödinger equation with a potential on the half-line ⋮ The forced non-linear Schrödinger equation with a potential on the half-line ⋮ Long time decay for 2D Klein-Gordon equation ⋮ \(L^p-L^{p'}\) estimates for matrix Schrödinger equations ⋮ \(L^p\)-boundedness of the wave operator for the one dimensional Schrödinger operator ⋮ Inverse \(N\)-body scattering with the time-dependent Hartree-Fock approximation ⋮ Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential ⋮ High-velocity estimates and inverse scattering for quantum N-body systems with Stark effect

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