Year: 2009
Type: article
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).
Authors: Luiz Farah, Márcia Scialom
Institution: Universidade Estadual de Campinas (UNICAMP)
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1965015441