The research project «Control Theory and Microlocal Analysis with Applications in Partial Differential Equations» (CTMicrAAPDEs) is composed of research teams from Brazil, Chile, Colombia, and France. This project is funded by the regional program MATH-Amsud in cooperation with CNRS (France), CAPES (Brazil), CMM (Chile), and MINCIENCIAS (Colombia).   

We aim to analyze diverse aspects in the study of dispersive equations under the scrutiny of microlocal analysis and other techniques, including some applications. As some partial differential equations appear in models for several physical phenomena, we plan to study well-posedness, control, and stabilization properties for Benney-Luke, Boussinesq KdV-KdV type systems which describe the propagation of bidirectional water waves, for Schrödinger on exterior domains which is a model of wave propagation in fiber optics and for biharmonic Schrödinger equation (or fourth order Schrödinger equation) on different domains which physically represents the propagation of intense laser beams.

• Roberto de Almeida Capistrano-Filho, Universidade Federal de Pernambuco, Brazil 

• Mauricio Sepúlveda, Universidad de Concepción, Chile

• Jose Raul Quintero, Universidad del Valle, Colombia 

• David Dos Santos Ferreira, Université de Lorraine, France 

•  January 2021-December 2023