Symplectic nonsqueezing in Hilbert space and discrete Schrödinger equations
DOI10.1007/s11784-016-0318-8zbMath1361.32033arXiv1411.3989OpenAlexW2963224644MaRDI QIDQ505840
Alexander Tumanov, Alexandre B. Sukhov
Publication date: 26 January 2017
Published in: Journal of Fixed Point Theory and Applications, Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.3989
Hilbert spaceHamiltonian PDEalmost complex structurediscrete nonlinear Schrödinger equationsymplectic diffeomorphism\(J\)-complex discsymplectic embeddingpseudoholomorphic disc
Symplectic manifolds (general theory) (53D05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60) Pseudoholomorphic curves (32Q65)
Related Items
Cites Work
- Symplectic nonsqueezing in Hilbert space and discrete Schrödinger equations
- A symplectic non-squeezing theorem for BBM equation
- A non-squeezing theorem for convex symplectic images of the Hilbert ball
- Symplectic nonsqueezing of the Korteweg-de Vries flow
- The discrete self-trapping equation
- Pseudo holomorphic curves in symplectic manifolds
- Holomorphic curves in symplectic geometry
- Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's
- Aspects of long time behaviour of solutions of nonlinear Hamiltonian evolution equations
- Pseudoholomorphic discs and symplectic structures in Hilbert space
- Classical Fourier Analysis
- Filling hypersurfaces by discs in almost complex manifolds of dimension 2
- The Theory of p-Spaces with an Application to Convolution Operators
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
