Norm inflation for equations of KdV type with fractional dispersion.

zbMath1463.35441arXiv1701.03354MaRDI QIDQ1627471

Vera Mikyoung Hur

Publication date: 29 November 2018

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03354

zbMATH Keywords

Burgers equationSchrödinger equationSchwartz classDuhamel iterationlocal well-posedness result

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Fractional partial differential equations (35R11)

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On the approximation of vorticity fronts by the Burgers–Hilbert equation ⋮ Stability of periodic waves for the fractional KdV and NLS equations

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