Well-posedness of the ``good Boussinesq equation in analytic Gevrey spaces and time regularity

DOI10.1016/j.jde.2019.04.001zbMath1417.35161OpenAlexW2937054298MaRDI QIDQ2420512

Renata O. Figueira, A. Alexandrou Himonas, Rafael F. Barostichi

Publication date: 6 June 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.04.001

zbMATH Keywords

well-posednesstime regularityBourgain spacesgood Boussinesq equationanalytic Gevrey spacesuniform radius of analyticity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)

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Cites Work

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• Inverse scattering and the boussinesq equation
• The inverse problem for periodic potentials
• Existance and Uniqueness for Boussinesq type equations on a circle

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