Middle dimensional symplectic rigidity and its effect on Hamiltonian PDEs
DOI10.4171/CMH/474zbMath1450.53068arXiv1705.06601OpenAlexW2994636426WikidataQ114021522 ScholiaQ114021522MaRDI QIDQ2301920
Publication date: 25 February 2020
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.06601
generating functionsnonlinear string equationsymplectic capacitiesHamiltonian PDEssymplectic rigiditysymplectic camel
Symplectic manifolds (general theory) (53D05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Momentum maps; symplectic reduction (53D20) Global theory of symplectic and contact manifolds (53D35) Symplectic and canonical mappings (37J11)
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Cites Work
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- A non-squeezing theorem for convex symplectic images of the Hilbert ball
- Symplectic topology and Hamiltonian dynamics. II
- Semigroups of linear operators and applications to partial differential equations
- Pseudo holomorphic curves in symplectic manifolds
- Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent
- A complete proof of Viterbo's uniqueness theorem on generating functions
- Symplectic geometry: an introduction based on the seminar in Bern, 1992
- Sharp systolic inequalities for Reeb flows on the three-sphere
- Problèmes d'intersections et de points fixes en géométrie hamiltonienne. (Intersection and fixed-point problems in Hamiltonian geometry)
- Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's
- A Lagrangian camel
- Local middle dimensional symplectic non-squeezing in the analytic setting
- HOW LARGE IS THE SHADOW OF A SYMPLECTIC BALL?
- Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ℝ2
- Hofer's question on intermediate symplectic capacities
- Symplectic embeddings of polydisks
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