SILVA, C. J.; http://lattes.cnpq.br/8973434742670697; SILVA, Cícero José da.
Résumé:
In this work we present an introduction to the Theory of Analytical Semigroups and Fractional Powers of Non-Limited Linear Operators. Next, we will see how this theory can be applied to determine the existence of solution to the following class of parabolic differential equations
{(du/dt+Au=f (t,u (t)),&t>0.@u (0)= u0)┤
Where A : D (A) → X, with D (A) ư X, and f are given and meet certain conditions.