On the weak solution to a fractional nonlinear Schrödinger equation

DOI10.1155/2014/569693zbMath1474.35681OpenAlexW2015369747WikidataQ59039533 ScholiaQ59039533MaRDI QIDQ1724411

Zujin Zhang, Xiao Feng Wang, Zheng-An Yao

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/569693

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• On the uniqueness of strong solution to the incompressible Navier-Stokes equations with damping
• Well-posedness and regularity of generalized Navier-Stokes equations in some critical \(Q\)-spaces
• Schrödinger maps and anti-ferromagnetic chains
• Infinite-dimensional dynamical systems in mechanics and physics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional quantum mechanics and Lévy path integrals
• A maximum principle applied to quasi-geostrophic equations
• On the continuous limit for a system of classical spins
• On a fractional nonlinear hyperbolic equation arising from relative theory
• Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation
• Global regularity for a modified critical dissipative quasi-geostrophic equation
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Behavior of Solutions of 2D Quasi-Geostrophic Equations
• On the Euler equations of incompressible fluids

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