New \(L^ p\)-estimates for solutions to the Schrödinger equations and time asymptotic behavior of observables
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Publication:914949
DOI10.2977/prims/1195173181zbMath0702.35020OpenAlexW2083003159MaRDI QIDQ914949
Publication date: 1989
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195173181
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)
Related Items (5)
Time decay for some Schrödinger equations ⋮ Unnamed Item ⋮ Space-time behavior of propagators for Schrödinger evolution equations with Stark effect ⋮ Lower bounds for order of decay or of growth in time for solutions to linear and nonlinear Schrödinger equations ⋮ Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
Cites Work
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- On the existence of solutions to time-dependent Hartree-Fock equations
- Asymptotic evolution of certain observables and completeness in Coulomb scattering. I
- Asymptotic observables on scattering states
- Spectral properties of Schrödinger operators and time-decay of the wave functions. Results in \(L^ 2(R^ 4)\)
- Commutator methods and a smoothing property of the Schrödinger evolution group
- On solutions on the initial value problem for the nonlinear Schrödinger equations
- 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
- Propagation of states in dilation analytic potentials and asymptotic completeness
- Spectral analysis of N-body Schrödinger operators
- Weighted Sobolev spaces and rapidly decreasing solutions of some nonlinear dispersive wave equations
- Absence of singular continuous spectrum for certain self-adjoint operators
- Asymptotic expansions in time for solutions of Schrödinger-type equations
- Invariant domains for the time-dependent Schrödinger equation
- Local decay of scattering solutions to Schrödinger's equation
- Scattering solutions decay at least logarithmically
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- Local decay in time of solutions to Schrödinger's equation with a dilation-analytic interaction
- Decay of solutions of Schrödinger equations
- On solutions of the initial value problem for the nonlinear Schrödinger equations in one space dimension
- Smoothing effect for some Schrödinger equations
- Quantum-mechanical scattering theory for short-range and Coulomb interactions
- Scattering theory for differential operators. I: Operator theory
- Absolute continuity of Hamiltonian operators with repulsive potentials
- Interpolation inequalities with weights
- On the Space-Time Behavior of Schrödinger Wavefunctions
- Absolute Continuity of Hamiltonian Operators with Repulsive Potential
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