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Weak solutions for EDPs applieds to a model of tumor growth

Grant number: 16/11621-4
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): August 01, 2016
Effective date (End): July 31, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Bianca Morelli Rodolfo Calsavara
Grantee:Diego Salam Claro
Home 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.

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