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

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Author(s):	Barostichi, Rafael F. ; Figueira, Renata O. ; Himonas, A. Alexandrou Total Authors: 3
Document type:	Journal article
Source:	Journal of Differential Equations; v. 267, n. 5, p. 18-pg., 2019-08-15.
Abstract
The Cauchy problem for the "good" Boussinesq equation with data in analytic Gevrey spaces on the line and the circle is considered and its local well-posedness in these spaces is proved. The proof is based on bilinear estimates in Bourgain type spaces incorporating the symbol of the linear part of the equation and an exponential weight expressing the analytic Gevrey regularity of the solution in the spatial variable. Also, Gevrey regularity of the solution in time variable is provided. (C) 2019 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	17/12499-0 - Analytic and Gevrey well-posedness for the "good" Boussinesq equation
Grantee:	Renata de Oliveira Figueira
Support Opportunities:	Scholarships abroad - Research Internship - Doctorate


FAPESP's process:	18/04950-7 - Global in time analytic solutions for the good Boussinesq equation and the nonlinear Schrödinger equation
Grantee:	Rafael Fernando Barostichi
Support Opportunities:	Scholarships abroad - Research


FAPESP's process:	15/24109-7 - Analytic and Gevrey well-posedness of the "good" Boussinesq equation
Grantee:	Renata de Oliveira Figueira
Support Opportunities:	Scholarships in Brazil - Doctorate