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Exact controllability to trajectories and approximate controllability for semilinear heat equation

Grant number: 21/00196-9
Support type:Scholarships in Brazil - Master
Effective date (Start): June 01, 2021
Effective date (End): February 28, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Bianca Morelli Rodolfo Calsavara
Grantee:Pedro Álvares Muiños
Home 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

A controllability problema consists in act on trajectories of an evolution system (that can be described by ordinary or partial differential equations) by means of a control (nonhomogeneity of equation, boundary conditions, etc.) to find solutions of the system with a given initial data and a given final data.In this project it will be studed, under suitable conditions, exact controllability to trajectories and approximate controllability for semilinear heat equation. (AU)

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