Dispersive estimate for the Schrödinger equation with point interactions

DOI10.1002/mma.682zbMath1095.35038arXivmath/0509704OpenAlexW2122083866MaRDI QIDQ5469169

Piero D'Ancona, Alessandro Teta, Vittoria Pierfelice

Publication date: 16 May 2006

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509704

zbMATH Keywords

Schrödinger equationresolvent estimatesdecay estimatesdispersive equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Perturbations of PDEs on manifolds; asymptotics (58J37) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items

On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction ⋮ On fractional powers of singular perturbations of the Laplacian ⋮ On real resonances for three-dimensional Schrödinger operators with point interactions ⋮ Singular Hartree equation in fractional perturbed Sobolev spaces ⋮ Fractional powers and singular perturbations of quantum differential Hamiltonians ⋮ \(L^p\)-boundedness of wave operators for the three-dimensional multi-centre point interaction ⋮ Dispersive estimate for the 1D Schrödinger equation with a steplike potential ⋮ Orbital and asymptotic stability for standing waves of a nonlinear Schrödinger equation with concentrated nonlinearity in dimension three ⋮ Well posedness of the nonlinear Schrödinger equation with isolated singularities ⋮ Strichartz estimates for the Schrödinger equation with a measure-valued potential

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