Local well-posedness and smoothing effects of strong solutions for nonlinear Schrödinger equations with potentials and magnetic fields

DOI10.14492/hokmj/1285766208zbMath1067.35111OpenAlexW2167954706MaRDI QIDQ1775389

Yoshihisa Nakamura, Akihiro Shimomura

Publication date: 6 May 2005

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1285766208

zbMATH Keywords

regularity existence Cauchy problem local strong solutions local smoothing effects nonlinear Schrödinger equations with time-dependent potentials and magnetic fields

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Strong solutions to PDEs (35D35)

Related Items (7)

Global, finite energy, weak solutions for the NLS with rough, time-dependent magnetic potentials ⋮ Averaging of strong magnetic nonlinear Schrödinger equations in the energy space ⋮ Strong magnetic field limit in a nonlinear Iwatsuka-type model ⋮ Asymptotic evolution for the semiclassical nonlinear Schrödinger equation in presence of electric and magnetic fields ⋮ On the Cauchy problem for the XFEL Schrödinger equation ⋮ Dispersive decay for the nonlinear magnetic Schrödinger equation ⋮ Soliton dynamics for the nonlinear Schrödinger equation with magnetic field

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