Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation
From MaRDI portal
Publication:1852690
DOI10.4310/MAA.2001.v8.n4.a7zbMath1011.35119OpenAlexW1552792047WikidataQ124824980 ScholiaQ124824980MaRDI QIDQ1852690
Kenji Nakanishi, Hideo Takaoka, Yoshio Tsutsumi
Publication date: 4 June 2003
Published in: Methods and Applications of Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/maa.2001.v8.n4.a7
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items
Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation, On the Work of Jean Bourgain in Nonlinear Dispersive Equations, On Local Well posedness of the Schrödinger-Boussinesq Systems, Low-regularity bilinear estimates for a quadratic nonlinear Schrödinger equation, Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋, Low regularity exponential-type integrators for semilinear Schrödinger equations, Nonlinear smoothing for dispersive PDE: a unified approach, Local well-posedness for the periodic higher order KdV type equations, Bilinear estimates associated to the Schrödinger equation with a nonelliptic principal part, Low regularity solutions for a 2D quadratic nonlinear Schrödinger equation, Sharp well-posedness for a coupled system of mKDV-type equations, A priori bounds for KdV equation below \(H^{- \frac{3}{4}}\), Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\), Well-posedness and weak rotation limit for the Ostrovsky equation, Asymptotic lower bound for the radius of spatial analyticity to solutions of KdV equation, On the work of Jean Bourgain in nonlinear dispersive equations