Global solutions for 1D cubic defocusing dispersive equations: Part I
DOI10.1017/fmp.2023.30zbMath1530.35283arXiv2205.12212OpenAlexW4389318362MaRDI QIDQ6182805
Publication date: 21 December 2023
Published in: Forum of Mathematics, Pi (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.12212
Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (1)
Cites Work
- A new proof of long-range scattering for critical nonlinear Schrödinger equations.
- Semiclassical microlocal normal forms and global solutions of modified one-dimensional KG equations
- Resonant decompositions and the \(I\)-method for the cubic nonlinear Schrödinger equation on \(\mathbb R^2\)
- Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation
- Long time asymptotic behavior of the focusing nonlinear Schrödinger equation
- Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation.
- Energy and local energy bounds for the 1-d cubic NLS equation in \(H^{-\frac{1}{4}}\)
- Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities
- Large time asymptotics for the fractional nonlinear Schrödinger equation
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- The lifespan of small data solutions in two dimensional capillary water waves
- Global solutions and asymptotic behavior for two dimensional gravity water waves
- Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d = 1
- Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension
- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4
- Bilinear virial identities and applications
- Tensor products and correlation estimates with applications to nonlinear Schrödinger equations
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space
- GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H1(R)
- Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3
- Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation
- Scattering and small data completeness for the critical nonlinear Schrödinger equation
- Two dimensional water waves in holomorphic coordinates II: global solutions
- Global regularity of wave maps. II: Small energy in two dimensions
This page was built for publication: Global solutions for 1D cubic defocusing dispersive equations: Part I
