The Hille - Yosida Theorem
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Date
2013-02
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Addis Ababa University
Abstract
The Hille - Yosida Theorem is one of the most useful tools in the study of
existence of a unique solution for evolution problem i.e.,
8<
Du+au=0
Dt(0)=u0
+ Au = 0; on [0;+1);
u(0) = u0;
where A is a maximal monotone operator.
The aim of this project is to study the existence and uniqueness of solutions
generated by maximal monotone operators in Hilbert spaces by applying
Hille-Yosida Theorem for the evolution problem.
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The Hille - Yosida Theorem is One of the Most