Adapted Function Spaces for Dispersive Equations
From MaRDI portal
Publication:2950220
DOI10.1007/978-3-319-00786-1_3zbMath1346.46021OpenAlexW20150423MaRDI QIDQ2950220
Publication date: 8 October 2015
Published in: Singular Phenomena and Scaling in Mathematical Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-00786-1_3
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)
Cites Work
- Unnamed Item
- Well-posedness for the supercritical gKdV equation
- Global well-posedness of the energy-critical defocusing NLS on \({\mathbb{R} \times \mathbb{T}^3}\)
- Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\)
- Scattering for the quartic generalised Korteweg-de Vries equation
- The Korteweg-de Vries equation at \(H^{-1}\) regularity
- Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]
- A bilinear Airy-estimate with application to gKdV-3.
- Differential equations driven by rough signals
- Differential equations driven by rough signals. I: An extension of an inequality of L. C. Young
- Small data scattering and soliton stability in \(\dot{H}^{-1/6}\) for the quartic KdV equation
- Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications
- An inequality of the Hölder type, connected with Stieltjes integration
- The quintic nonlinear Schrödinger equation on three-dimensional Zoll manifolds
- Blow up for the critical gKdV equation III: exotic regimes
- On the Cauchy Problem for the Generalized Korteweg-de Vries Equation
- Dispersive estimates for principally normal pseudodifferential operators
- A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces
