Accession Number:

ADA114619

Title:

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

Descriptive Note:

Interim technical rept.,

Corporate Author:

SCHOOL OF AEROSPACE MEDICINE BROOKS AFB TX

Personal Author(s):

• Cohoon,David K.

Report Date:

1981-12-01

Pagination or Media Count:

81.0

Abstract:

In this paper nonuniqueness has been obtained for spaces smaller than the space of infinitely differentiable functions, which is an improvement of Cohens 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.

Descriptors:

• *Partial differential equations
• *Vector spaces
• Cauchy problem
• Boundary value problems
• Linear differential equations
• Analytic functions
• Theorems

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE