Global existence for a forced dispersive dissipative equation via the I-method

DOI10.3934/CPAA.2009.8.1401zbMath1178.35332OpenAlexW2084552149MaRDI QIDQ1016667

Bassam Kojok

Publication date: 6 May 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.1401

zbMATH Keywords

Cauchy problemKorteweg-de Vries-Burgers equationFourier restriction norm methodlow regularity

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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