On the Nonpropagation of Zero Sets of Solutions of Certain Homogeneous Linear Partial Differential Equations across Noncharacteristic Hyperplanes.

Abstract

In this paper nonuniqueness has been obtained for spaces smaller than the space of infinitely differentiable functions, which is an improvement of Cohen's nonuniqueness result. In the course of developing these results we made a study of some of the many function spaces lying between the space of infinitely differentiable functions and the space of real analytic functions. These are generalizations of the spaces studied by Gevrey, Friedman, and Hormander. Because the very definition of these spaces depends on the growth of derivatives, we include for completeness a proof of the formula for the nth derivative of the composition of two functions.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1981
Accession Number
ADA114619

Entities

People

  • David K. Cohoon

Organizations

  • United States Air Force School of Aerospace Medicine

Tags

Communities of Interest

  • Air Platforms
  • Biomedical
  • C4I
  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Air Force Facilities
  • Analytic Functions
  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Classification
  • Coefficients
  • Construction
  • Difference Equations
  • Differential Equations
  • Equations
  • Exponential Functions
  • Partial Differential Equations
  • Security
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Aerospace Engineering.
  • Graph Algorithms and Convex Optimization.
  • Linear Algebra

Technology Areas

  • Space