On existence and stability results for normalized ground states of mass-subcritical biharmonic nonlinear Schrödinger equation on \(\mathbb{R}^{d} \times \mathbb{T}^{n}\)
DOI10.1137/22m1543707zbMATH Open1543.35216MaRDI QIDQ6571361
Yongming Luo, Hichem Hajaiej, Lingjie Song
Publication date: 12 July 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Antennas, waveguides in optics and electromagnetic theory (78A50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Title not available (Why is that?)
- Well-posedness and scattering for nonlinear Schrödinger equations on \(\mathbb{R}^d \times \mathbb{T}\) in the energy space
- Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\)
- On scattering for the defocusing nonlinear Schrödinger equation on waveguide \(\mathbb{R}^m \times \mathbb{T}\) (when \(m = 2, 3)\)
- Stability of the soliton-like ``bubbles
- Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
- Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- On scattering for the cubic defocusing nonlinear Schrödinger equation on the waveguide \(\mathbb{R}^2 \times \mathbb{T}\)
- Non-homogeneous Gagliardo-Nirenberg inequalities in \(\mathbb{R}^N\) and application to a biharmonic non-linear Schrödinger equation
- Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold
- The nonlinear Schrödinger equation ground states on product spaces
- On Scattering for the Quintic Defocusing Nonlinear Schrödinger Equation on R × T2
- MODIFIED SCATTERING FOR THE CUBIC SCHRÖDINGER EQUATION ON PRODUCT SPACES AND APPLICATIONS
- THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS
- Self-Focusing with Fourth-Order Dispersion
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- Orbitally Stable Standing Waves of a Mixed Dispersion Nonlinear Schrödinger Equation
- Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime
- Threshold scattering for the 2D radial cubic-quintic NLS
- On Scattering for the Defocusing Quintic Nonlinear Schrödinger Equation on the Two-Dimensional Cylinder
- Scattering for the Cubic-Quintic NLS: Crossing the Virial Threshold
- Blowup for Biharmonic NLS
- Strong Instability of Ground States to a Fourth Order Schrödinger Equation
- On long time behavior of the focusing energy-critical NLS on \(\mathbb{R}^d\times\mathbb{T}\) via semivirial-vanishing geometry
- Global Well-Posedness and Scattering for Fourth-Order Schrödinger Equations on Waveguide Manifolds
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