EXISTENCE OF THE GLOBAL SMOOTH SOLUTION TO A FRACTIONAL NONLINEAR SCHRÖDINGER SYSTEM IN ATOMIC BOSE-EINSTEIN CONDENSATES

DOI10.11948/2015060zbMath1463.35459OpenAlexW1961552350MaRDI QIDQ5121226

Qiaoxin Li, Bo-ling Guo

Publication date: 11 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2015060

zbMATH Keywords

a priori estimatesglobal smooth solutionfractional Schrödinger equationsthe Galerkin method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

Finite dimensional global attractor for a class of two-coupled nonlinear fractional Schrödinger equations ⋮ Long-time behavior of solutions for a system of \(N\)-coupled nonlinear dissipative half-wave equations ⋮ Asymptotic dynamics of the solutions for a system of N-coupled fractional nonlinear Schrödinger equations

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