On a system of nonlinear Schrödinger equations with quadratic interaction and L2-critical growth
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Publication:5061456
DOI10.1142/S0129167X22500021zbMath1490.35411OpenAlexW3215084573MaRDI QIDQ5061456
Publication date: 11 March 2022
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x22500021
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Blow-up in context of PDEs (35B44)
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Cites Work
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- On a system of nonlinear Schrödinger equations in 2D.
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Nonlinear scalar field equations. I: Existence of a ground state
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Scattering for mass-resonance nonlinear Schrödinger system in 5D
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- On a quasilinear Zakharov system describing laser-plasma interactions.
- Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
- Existence and stability of solitary wave solutions of the Benjamin equation
- Orbital stability of standing waves for a system of nonlinear Schrödinger equations with three wave interaction
- Strong instability of standing waves for a system NLS with quadratic interaction
- Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance
- Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition
- Existence, stability of standing waves and the characterization of finite time blow-up solutions for a system NLS with quadratic interaction
- On the dynamics of a quadratic Schrödinger system in dimension \(n = 5\)
- The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
- A new rearrangement inequality and its application for \(L^2\)-constraint minimizing problems
- On a system of nonlinear Schrödinger equations with quadratic interaction
- A numerical model for the Raman amplification for laser-plasma interaction
- Instability of bound states of nonlinear Schrödinger equations with Morse index equal to two
- Solitons in quadratic media
- A note on concentration for blowup solutions to supercritical Schrödinger equations
- Instability of Standing Waves for a System of Nonlinear Schroedinger Equations with Three-Wave Interaction
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- Necessary conditions and sufficient conditions for global existence in the nonlinear Schr\"odinger equation
- Existence of constrained minimizer for a quadratically coupled Schrödinger systems
- Ground states for a system of nonlinear Schrödinger equations with three wave interaction
- On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation
