Global in time analytic solutions for the good Boussinesq equation and the nonlinear Schrödinger equation

• Grant number: 18/04950-7
• Support Opportunities: Scholarships abroad - Research
• Start date: October 01, 2018
• End date: September 30, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: RAFAEL FERNANDO BAROSTICHI
• Grantee: RAFAEL FERNANDO BAROSTICHI
• Host Investigator: Alex Alexandrou Himonas
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: University of Notre Dame, United States

Abstract

This research project proposes the study of the existence of global in time solutions that are analytic in space variable for the good Boussinesq (gB) and nonlinear Schrodinger (NLS) equations, besides investigating the behaviour of the radius of analyticity in the space variable for both equations.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BAROSTICHI, RAFAEL F.; FIGUEIRA, RENATA O.; HIMONAS, A. ALEXANDROU. Well-posedness of the ``good{''} Boussinesq equation in analytic Gevrey spaces and time regularity. Journal of Differential Equations, v. 267, n. 5, p. 3181-3198, AUG 15 2019. (18/04950-7, 17/12499-0, 15/24109-7)

BAROSTICHI, RAFAEL; FIGUEIRA, RENATA O.; HIMONAS, A. ALEXANDROU. The modified KdV equation with higher dispersion in Sobolev and analytic spaces on the line. JOURNAL OF EVOLUTION EQUATIONS, v. 21, n. 2, MAR 2021. (18/04950-7, 15/24109-7, 17/12499-0)

BAROSTICHI, RAFAEL F.; FIGUEIRA, RENATA O.; HIMONAS, A. ALEXANDROU. Well-posedness of the "good" Boussinesq equation in analytic Gevrey spaces and time regularity. Journal of Differential Equations, v. 267, n. 5, p. 18-pg., 2019-08-15. (17/12499-0, 18/04950-7, 15/24109-7)