Sharp thresholds of blow-up and global existence for the Schrödinger equation with combined power-type and Choquard-type nonlinearities

DOI10.1186/s13661-019-01310-6OpenAlexW2995389082MaRDI QIDQ2108433

Yong-Bin Wang, Binhua Feng

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-01310-6

zbMATH Keywords

blow-upsharp thresholdsnonlinear Schrödinger-Choquard equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Fractional Choquard equations with an inhomogeneous combined non-linearity ⋮ Schrödinger equations with combined non-linearity ⋮ The generalized Hartree equation with a combined source term

Cites Work

• Unnamed Item
• On the Cauchy problem for the Schrödinger-Hartree equation
• Sharp threshold of global existence and instability of standing wave for the Schrödinger-Hartree equation with a harmonic potential
• Sharp blow-up criteria for the Davey-Stewartson system in \(\mathbb R^3\)
• Soliton and blow-up solutions to the time-dependent Schrödinger-Hartree equation
• Soliton dynamics for the generalized Choquard equation
• The sharp threshold and limiting profile of blow-up solutions for a Davey-Stewartson system
• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Strong instability of standing waves for a nonlocal Schrödinger equation
• A note on the fractional Schrödinger equation of Choquard type
• On the blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities
• Sharp threshold of blow-up and scattering for the fractional Hartree equation
• Stability of standing waves for the fractional Schrödinger-Hartree equation
• Stability of standing waves for the fractional Schrödinger-Choquard equation
• On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities
• Global well-posedness and blow-up for the Hartree equation
• On fractional nonlinear Schrödinger equation with combined power-type nonlinearities
• Blow-up solutions for the inhomogeneous Schrödinger equation with \(L^2\) supercritical nonlinearity
• A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
• On the Davey-Stewartson system with competing nonlinearities
• Remarks on the inhomogeneous fractional nonlinear Schrödinger equation
• Sharp criteria for the nonlinear Schrödinger equation with combined nonlinearities of power-type and Hartree-type
• Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.

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