Uniqueness Of 1D generalized bi-Schrödinger flow
DOI10.1007/s12220-021-00787-xzbMath1490.35438arXiv2005.10575OpenAlexW4205443043MaRDI QIDQ2074501
Publication date: 10 February 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.10575
uniqueness of a solutiondispersive partial differential equationgeneralized bi-Schrödinger flowlocally Hermitian symmetric space
PDEs in connection with fluid mechanics (35Q35) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Refined energy inequality with application to well-posedness for the fourth order nonlinear Schrödinger type equation on torus
- Vortex filament on symmetric Lie algebras and generalized bi-Schrödinger flows
- On the global well-posedness of the one-dimensional Schrödinger map flow
- Periodic weak solutions for a classical one-dimensional isotropic biquadratic Heisenberg spin chain
- Generalized Hasimoto transform of one-dimensional dispersive flows into compact Riemann surfaces
- A third-order dispersive flow for closed curves into Kähler manifolds
- The Cauchy problem for Schrödinger flows into Kähler manifolds
- A third order dispersive flow for closed curves into almost Hermitian manifolds
- Schrödinger flow of maps into symplectic manifolds
- Infinite-dimensional dynamical systems in mechanics and physics.
- The vortex filament equation and a semilinear Schrödinger equation in a Hermitian symmetric space
- Local Schrödinger flow into Kähler manifolds
- Uniqueness of Schrödinger flow on manifolds
- A fourth-order dispersive flow equation for closed curves on compact Riemann surfaces
- On the continuous limit for a system of classical spins
- Schrödinger flow on Hermitian locally symmetric spaces
- Geometric Schrödinger-Airy flows on Kähler manifolds
- Local existence of a fourth-order dispersive curve flow on locally Hermitian symmetric spaces and its application
- A fourth-order dispersive flow into Kähler manifolds
- Fourth-order dispersive systems on the one-dimensional torus
- Some Geometric Flows on Kahler Manifolds
- KdV GEOMETRIC FLOWS ON KÄHLER MANIFOLDS
- The KdV curve and Schrödinger-Airy curve
- An Approximation Scheme for Schrödinger Maps
- A Remark on the Global Existence of a Third Order Dispersive Flow into Locally Hermitian Symmetric Spaces
- Schrödinger maps
- Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity
- The initial-value problem for a fourth-order dispersive closed curve flow on the 2-sphere
- Schrödinger flow into almost Hermitian manifolds
- Biharmonic wave maps: local wellposedness in high regularity
- Schrodinger Maps and their Associated Frame Systems
- Harmonic Mappings of Riemannian Manifolds
