Local Smoothing and Local Solvability for Third Order Dispersive Equations

DOI10.1137/050630659zbMath1125.35075OpenAlexW2056428702MaRDI QIDQ3593052

Herbert Koch, Jean Claude Saut

Publication date: 24 September 2007

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050630659

zbMATH Keywords

local well-posednessnonlinear Schrödinger equationsKdV equationslocal smoothing estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (5)

Global well-posedness and scattering for the Dysthe equation in \(L^2(\mathbb{R}^2)\) ⋮ Smoothing and Strichartz estimates for degenerate Schrödinger-type equations ⋮ On the nonlinear Dysthe equation ⋮ IST Versus PDE: A Comparative Study ⋮ Kato Smoothing Effect for Schrödinger Operator

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