The Existence, Uniqueness, Differentiability, and Analyticity of the Solutions of Non-Linear Differential Equations in Banach Spaces with Applications to Navier Stokes Equations

摘要

By the use of standard mathematical devices certain problems in partial differential equations can be rephrased in terms of ordinary differential equations in infinite dimensional spaces. This study concerns such a situation where the desired properties of the solutions concern problems of existence, uniqueness, differentiability and analyticity of the solutions. (Author)