SOLVABILITY OF DIFFERENTIAL EQUATIONS IN THE SPACES (Gamma sup (delta)) (Omega).

Abstract

The report includes a detailed investigation of the properties of the Frechet space (Gamma sup (delta)) (Omega) of infinitely differentiable functions f on the open subset Omega in R sup n such that for every epsilon > 0 and every compact subset K of Omega (Norm f sup (epsilon, K)) = sup((epsilon to the power (-/alpha/)) (/alpha/to the power (-/alpha/delta)) /(D sup alpha) f(x)/: x(epsilon)K, alpha(epsilon)K, alpha(epsilon(N to the nth power)) is finite.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1970
Accession Number
AD0710428

Entities

People

  • David K. Cohoon

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematics

Readers

  • Analytical Mechanics
  • Linear Algebra

Technology Areas

  • Space