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Exact controllability to trajectories and approximate controllability for semilinear heat equation

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

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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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
MUIÑOS, Pedro Álvares. Exact controllability to trajectory and approximate controllability for semilinear heat equation. 2023. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.