Weak solutions for EDPs applieds to a model of tumor growth

• Grant number: 16/11621-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2016
• End date: July 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Bianca Morelli Rodolfo Calsavara
• Grantee: Diego Salam Claro
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project has the mays object to study existence, uniqueness and regularity of weak solution for the heat equation and for a model of tumor growth described by a parabolic equation. Besides, it will be treats an optimal control problem related to the mentioned model. To this end, initially, it will be studied some preliminary topics os measure and integration topics, Lp spaces, Sobolev spaces and some time dependent spaces.