On the management fourth-order Schrödinger-Hartree equation
From MaRDI portal
Publication:827658
DOI10.3934/eect.2020037zbMath1452.35178arXiv1905.08159OpenAlexW3013760430MaRDI QIDQ827658
Carlos Banquet Brango, Elder Jesús Villamizar-Roa
Publication date: 13 January 2021
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.08159
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items
The radial bi-harmonic generalized Hartree equation revisited, Time-decay and Strichartz estimates for the BBM equation on modulation spaces: existence of local and global solutions, Energy scattering for radial focusing inhomogeneous bi-harmonic Schrödinger equations, On the existence theory for nonlinear plate equations
Cites Work
- Unnamed Item
- Unnamed Item
- Well-posedness and ill-posedness for the cubic fractional Schrödinger equations
- The nonlinear Schrödinger equation. Singular solutions and optical collapse
- The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
- On the Cauchy problem of fourth-order nonlinear Schrödinger equations
- Pointwise estimates for oscillatory integrals and related \(L^{p}\)-\(L^{q}\) estimates. II: Multidimensional case
- Homogenization for nonlinear Schrödinger equations with periodic nonlinearity and dissipation in fractional order spaces
- Global existence of solutions for a fourth-order nonlinear Schrödinger equation in \(n+1\) dimensions
- Sharp well-posedness results for the BBM equation
- Well-posedness of the Cauchy problem of high dimension non-isotropic fourth-order Schrödinger equations in Sobolev spaces
- The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- Perturbation theory for linear operators.
- On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness
- Well-posedness and averaging of NLS with time-periodic dispersion management
- A Schrödinger equation with time-oscillating nonlinearity
- Global existence of solutions for a fourth-order nonlinear Schrödinger equation
- Averaging of the nonlinear Schrödinger equation with highly oscillatory magnetic potentials
- On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging
- Blow-up for the focusing \(\dot H^{1/2}\)-critical Hartree equation with radial data
- Self-Focusing with Fourth-Order Dispersion
- Mean field dynamics of boson stars
- On the Schr\"odinger equations with isotropic and anisotropic fourth-order dispersion
- On well-posedness of the third-order nonlinear Schrödinger equation with time-dependent coefficients
- Stabilizing effects of dispersion management
- A restriction theorem for the Fourier transform
