Nonlinear Schrödinger equation in the Bopp-Podolsky electrodynamics: global boundedness, blow-up and no scattering in the energy space
DOI10.1016/J.JDE.2023.02.004OpenAlexW4320713550MaRDI QIDQ2696039
Publication date: 6 April 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.02.004
PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Special relativity (83A05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Motion of charged particles (78A35) Blow-up in context of PDEs (35B44) Foundations in optics and electromagnetic theory (78A02)
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Cites Work
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- Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\)
- Scattering for the focusing energy-subcritical nonlinear Schrödinger equation
- Nonexistence of scattering and modified scattering states for some nonlinear Schrödinger equation with critical homogeneous nonlinearity.
- Asymptotic behavior of solutions to certain nonlinear Schrödinger-Hartree equations
- On the 4D nonlinear Schrödinger equation with combined terms under the energy threshold
- The dynamics of the 3D radial NLS with the combined terms
- Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations
- Normalized solutions for Schrödinger system with quadratic and cubic interactions
- Sharp scattering for the cubic-quintic nonlinear Schrödinger equation in the focusing-focusing regime
- Existence and finite time blow-up for nonlinear Schrödinger equations in the Bopp-Podolsky electrodynamics
- Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities
- Normalized ground states for the NLS equation with combined nonlinearities
- A new proof of scattering theory for the 3D radial focusing energy-critical NLS with combined terms
- Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equations
- A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
- Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case
- Nonlinear Schrödinger equation in the Bopp-Podolsky electrodynamics: solutions in the electrostatic case
- On Dipolar Quantum Gases in the Unstable Regime
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Threshold scattering for the 2D radial cubic-quintic NLS
- Orbital stability vs. scattering in the cubic-quintic Schrödinger equation
- Hamilton-Jacobi formalism for Podolsky’s electromagnetic theory on the null-plane
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
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