Accession Number : AD0690915

Title :   THE EXISTENCE, UNIQUENESS, DIFFERENTIABILITY, AND ANALYTICITY OF THE SOLUTIONS OF NON-LINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACES WITH APPLICATIONS TO NAVIER STOKES EQUATIONS.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV BERKELEY DEPT OF MATHEMATICS

Personal Author(s) : Khatchatooriantz,Ludwig Asature

Report Date : JUN 1968

Pagination or Media Count : 142

Abstract : 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)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS), (*NONLINEAR DIFFERENTIAL EQUATIONS, BANACH SPACE), NAVIER STOKES EQUATIONS, ANALYTIC FUNCTIONS, HILBERT SPACE, TOPOLOGY, THEOREMS, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE