On a nonlinear evolution Schrödinger-Hartree equation

DOI10.1134/S106456240605022XzbMath1152.35105OpenAlexW1988169671MaRDI QIDQ2477503

Yanyan Li

Publication date: 13 March 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456240605022x

zbMATH Keywords

decayglobal solvabilitynonlinear Schrödinger-Hartree equationattracting interactionrepelling interaction

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

On a nonlinear Schrödinger-Hartree evolution equation in the critical case

Cites Work

• Stability theory of solitary waves in the presence of symmetry. II
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Stability theory of solitary waves in the presence of symmetry. I
• An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction
• Asymptotic behavior of solutions to certain nonlinear Schrödinger-Hartree equations
• On a class of non linear Schrödinger equations with non local interactions
• Lyapunov stability of ground states of nonlinear dispersive evolution equations
• Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
• Long range scattering and modified wave operators for some Hartree type equations. III: Gevrey spaces and low dimensions

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