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

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)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1968
Accession Number
AD0690915

Entities

People

  • Ludwig Asature Khatchatooriantz

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Navier Stokes Equations
  • Nonlinear Differential Equations
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space