Long time existence for fully nonlinear NLS with small Cauchy data on the circle
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Publication:5003223
DOI10.2422/2036-2145.201811_003zbMath1475.37081arXiv1806.03437OpenAlexW2805238605MaRDI QIDQ5003223
Publication date: 20 July 2021
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.03437
NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)
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Cites Work
- Unnamed Item
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- KAM for autonomous quasi-linear perturbations of mKdV
- Birkhoff normal form for partial differential equations with tame modulus
- Birkhoff normal form for some nonlinear PDEs
- Almost global solutions of capillary-gravity water waves equations on the circle
- Local well-posedness for quasi-linear NLS with large Cauchy data on the circle
- Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations
- Gravity capillary standing water waves
- Growth of Sobolev norms for abstract linear Schrödinger equations
- Normal Form Transformations for Capillary-Gravity Water Waves
- Quasi-invariant modified Sobolev norms for semi linear reversible PDEs
- Long-time existence for semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds
- Long Time Stability of Hamiltonian Partial Differential Equations
- Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres
- Almost global existence for Hamiltonian semilinear Klein‐Gordon equations with small Cauchy data on Zoll manifolds
- An integrable normal form for water waves in infinite depth
