Evolution of the radius of analyticity for dispersive equations and systems involving them

• Grant number: 21/04999-9
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: February 01, 2022
• End date: September 30, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Ademir Pastor Ferreira
• Grantee: Renata de Oliveira Figueira
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 19/02512-5 - Systems and partial differential equations, AP.TEM

Abstract

On both, the circle and the line, we want to study the local and global well-posedness of the Benjamin equation, modified Benjamin equation and the system of equations Schrödinger- Korteweg-de Vries with intial data belonging in a class of analytic functions that can be extended holomorphically in a symmetric strip of the complex plane around the x-axis.Also, we intend to obtain lower bounds for the radius of analyticity of the global solution when time goes to infinity.

Scientific publications

(4)

(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)

FIGUEIRA, RENATA O.; NOGUEIRA, MARCELO; PANTHEE, MAHENDRA. Lower bounds on the radius of analyticity for a system of nonlinear quadratic interactions of the Schrödinger-type equations. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v. 75, n. 4, p. 14-pg., 2024-08-01. (23/06416-6, 21/04999-9)

FIGUEIRA, RENATA O.; PANTHEE, MAHENDRA. New lower bounds for the radius of analyticity for the mKdV equation and a system of mKdV-type equations. JOURNAL OF EVOLUTION EQUATIONS, v. 24, n. 2, p. 24-pg., 2024-06-01. (23/06416-6, 21/04999-9)

FIGUEIRA, RENATA O.; PANTHEE, MAHENDRA. EVOLUTION OF THE RADIUS OF ANALYTICITY FOR THE GENERALIZED BENJAMIN EQUATION. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. N/A, p. 17-pg., 2023-04-23. (21/04999-9, 20/14833-8)

FIGUEIRA, RENATA O.; PANTHEE, MAHENDRA. Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, v. 31, n. 4, p. 23-pg., 2024-07-01. (23/06416-6, 21/04999-9)