Nonrelativistic limit of standing waves for pseudo-relativistic nonlinear Schrödinger equations

DOI10.1063/1.4941037zbMath1332.81039arXiv1506.00791OpenAlexW1551606417MaRDI QIDQ2795520

Jinmyoung Seok, Woocheol Choi

Publication date: 21 March 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00791

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (16)

Strichartz estimates for higher-order Schrödinger equations and their applications ⋮ Monotonicity and nonexistence of positive solutions for pseudo-relativistic equation with indefinite nonlinearity ⋮ Unnamed Item ⋮ Optimal convergence rate and regularity of nonrelativistic limit for the nonlinear pseudo-relativistic equations ⋮ Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit ⋮ Vortex solutions for pseudo-relativistic Hartree equations ⋮ Semilinear elliptic equations with the pseudo-relativistic operator on a bounded domain ⋮ Limit behaviors of solutions to the pseudo-relativistic Lane-Emden equation ⋮ Existence of solutions of scalar field equations with fractional operator ⋮ Unnamed Item ⋮ On critical and supercritical pseudo-relativistic nonlinear Schrödinger equations ⋮ Direct methods for pseudo-relativistic Schrödinger operators ⋮ Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations ⋮ Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator ⋮ Existence and nonexistence of solutions to nonlocal elliptic problems ⋮ A generalized pseudorelativistic Schrödinger equation with supercritical growth

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