Dispersive estimates and asymptotic expansions for Schrödinger equations in dimension one
From MaRDI portal
Publication:632986
DOI10.2969/jmsj/06310239zbMath1211.35092OpenAlexW2017723916MaRDI QIDQ632986
Publication date: 28 March 2011
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: http://www.jstage.jst.go.jp/article/jmath/63/1/63_239/_article
Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10)
Related Items
Resolvent estimates in amalgam spaces and asymptotic expansions for Schrödinger equations, On the one dimensional Dirac equation with potential, A non-linear adiabatic theorem for the one-dimensional Landau-Pekar equations
Cites Work
- Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I
- Dispersive estimates for Schrödinger operators in dimensions one and three
- \(L^p\)-boundedness of the wave operator for the one dimensional Schrödinger operator
- Spectral properties of Schrödinger operators and time-decay of the wave functions results in \(L^2(\mathbb{R}^m),\;m\geq 5\)
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Asymptotic expansions in time for solutions of Schrödinger-type equations
- Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
- The \(W_{k,p}\)-continuity of the Schrödinger wave operators on the line
- \(L^p\)-\(L^{\acute p}\) estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential
- Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II
- Dispersive bounds for the three-dimensional Schrödinger equation with almost critical potentials
- Dispersive estimates for Schrödinger operators in dimension two
- Dispersive estimates for Schrödinger equations with threshold resonance and eigenvalue
- Dispersive estimates of solutions to the Schrödinger equation
- Low-energy behaviour of the scattering matrix for the Schrodinger equation on the line
- Decay estimates for Schrödinger operators
- Inverse scattering on the line
- Transport in the one-dimensional Schrödinger equation
- Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension
- Dispersive estimates for the three-dimensional Schrodinger equation with rough potentials
- The \(W^{k,p}\)-continuity of wave operators for Schrödinger operators
- Unnamed Item
- Unnamed Item
- Unnamed Item
