Sistemas de reação-difusão via teoria de semigrupos de operadores limitados

Abstract

In this work we will study reaction-di usion systems of the type ut = M u+f(u) where is an real matrix N N and f : RN regularity assumptions, u = (u1 RN is an function satisfyng certain uN) and u = ( u1 uN). Using the Theory of Semigroups of Bounded Linear Operators in Banach spaces to demonstrate results on the existence and uniqueness of local solutions for this di erential equation. Finally, we will apply these results in some examples.