Scattering Theory for the Hartree Equation
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Publication:4210244
DOI10.1137/S0036141096312222zbMath0916.35110OpenAlexW1978114307MaRDI QIDQ4210244
Pavel I. Naumkin, Tohru Ozawa, Nakao Hayashi
Publication date: 21 September 1998
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036141096312222
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (15)
LONG RANGE SCATTERING AND MODIFIED WAVE OPERATORS FOR SOME HARTREE TYPE EQUATIONS I ⋮ On the focusing generalized Hartree equation ⋮ ASYMPTOTIC BEHAVIOR TO THE 3-D SCHRÖDINGER/HARTREE–POISSON AND WIGNER–POISSON SYSTEMS ⋮ Scattering theory for the Schrödinger–Debye system ⋮ On small data scattering of Hartree equations with short-range interaction ⋮ SMOOTHING EFFECT AND LARGE TIME BEHAVIOR OF SOLUTIONS TO SCHRÖDINGER EQUATIONS WITH NONLINEARITY OF INTEGRAL TYPE ⋮ Global behavior of solutions to the focusing generalized Hartree equation ⋮ Global existence and uniqueness for the magnetic Hartree equation ⋮ A Space-Time Wigner Function Approach to Long Time Schrödinger--Poisson Dynamics ⋮ Modified scattering operator for the Hartree-Fock equation ⋮ Scattering versus blow-up for the focusing \(L^2\) supercritical Hartree equation ⋮ Asymptotic expansion of the solution to the nonlinear Schrödinger equation with nonlocal interaction ⋮ Long range scattering and modified wave operators for some Hartree type equations. III: Gevrey spaces and low dimensions ⋮ Long-range scattering for time-dependent Hartree-Fock type equation ⋮ Inhomogeneous boundary value problem for Hartree-type equation
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