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On the periodic “good” Boussinesq equation
Luiz Farah, Márcia Scialom
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Source: Crossref
Published: Oct 20, 2009
DOI: 10.1090/s0002-9939-09-10142-9
Open original source ↗Source abstract
We study the well-posedness of the initial-value problem for the periodic nonlinear “good” Boussinesq equation. We prove that this equation is locally well posed for initial data in Sobolev spaces H s ( T ) H^s(\mathbb {T}) for s > − 1 / 4 s>-1/4 , the same range of the real case obtained by Farah ( Comm. Partial Differential Equations 34 (2009), 52–73).
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