Global well-posedness for the non-linear Maxwell-Schrödinger system
From MaRDI portal
Publication:5041372
DOI10.2422/2036-2145.202010_033zbMath1498.35412arXiv1910.05297OpenAlexW3163445809MaRDI QIDQ5041372
Raffaele Scandone, Pierangelo Marcati, Paolo Antonelli
Publication date: 13 October 2022
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.05297
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Electromagnetic interaction; quantum electrodynamics (81V10) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An improvement on the Brézis-Gallouët technique for 2D NLS and 1D half-wave equation
- On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations
- On the finite energy weak solutions to a system in quantum fluid dynamics
- Global wellposedness in the energy space for the Maxwell-Schrödinger system
- Strichartz estimates for the magnetic Schrödinger equation
- Endpoint Strichartz estimates for the magnetic Schrödinger equation
- Magnetic virial identities, weak dispersion and Strichartz inequalities
- Standing ring blow up solutions to the \(N\)-dimensional quintic nonlinear Schrödinger equation
- Global existence and asymptotic behavior of solutions for the Maxwell- Schrödinger equations in three space dimensions
- Long range scattering and modified wave operators for the Maxwell-Schrödinger system. I: The case of vanishing asymptotic magnetic field
- Modified wave operators for Maxwell-Schrödinger equations in three space dimensions
- On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations
- Global, finite energy, weak solutions for the NLS with rough, time-dependent magnetic potentials
- Global finite-energy solutions of the Maxwell-Schrödinger system
- Generalized Strichartz inequalities for the wave equation
- Genuine hydrodynamic analysis to the 1-D QHD system: existence, dispersion and stability
- Time global finite-energy weak solutions to the many-body Maxwell-Pauli equations
- On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds
- Smoothing-Strichartz estimates for the Schrödinger equation with small magnetic potential
- Existence and uniqueness of the solution to the modified Schrödinger map
- Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\)
- Long range scattering and modified wave operators for the Maxwell-Schrödinger system. II: The general case
- Global existence and uniqueness of solutions to the Maxwell-Schrödinger equations
- Local well-posedness for the Maxwell-Schrödinger equation
- Nonlinear Maxwell-Schrödinger system and quantum magneto-hydrodynamics in 3-D
- Cauchy problem for the nonlinear Schrödinger equation coupled with the Maxwell equation
- Some results on systems for quantum fluids
- Global well-posedness of the magnetic Hartree equation with non-Strichartz external fields
- A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
- On smooth solutions to the initial-boundary value problem for the nonlinear schrödinger equation in two space dimensions
- Strichartz and Smoothing Estimates for Dispersive Equations with Magnetic Potentials
- The Cauchy problem for the coupled Maxwell–Schrödinger equations
- Commutator estimates and the euler and navier-stokes equations
- A note on limiting cases of sobolev embeddings and convolution inequalities
- Nonlinear Schrödinger evolution equations
- Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions
- A refined stability result for standing waves of the Schrödinger–Maxwell system
- A model of synchronization over quantum networks
- Exact smoothing properties of Schrodinger semigroups
