Application of Schauder’s Fixed Point Theorem for Semilinear Evolution Equations
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Date
2018-09-03
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Addis Ababa University
Abstract
This thesis is concerned with Semilinear evolution equations on a bounded Ω n<Rn with boundary conditions. Existence and uniqueness result of classical, mild and strong solutions of the problem is established using Co-Semigroup operator approach, Banach’s contraction principles and application of Schuader’s fixed point theorems apply to Semilinear evolution equations.