Accession Number:

AD0765759

Title:

Uniform Bounds on Biorthogonal Functions for Real Exponentials with an Application to the Control Theory of Parabolic Equations.

Descriptive Note:

Technical rept. 1 Oct 72-30 Sep 73,

Corporate Author:

WISCONSIN UNIV MADISON DEPT OF MATHEMATICS

Report Date:

1973-08-16

Pagination or Media Count:

61.0

Abstract:

In the report the authors study harmonic properties of sequences e - lambda sub kt of real exponential functions. Linear independence results, including estimates on the norms of biorthogonal functions, are obtained in the space L sup 2 over the interval or 0, but infinity and in L sup 20,T, T 0. The results are uniform in that they depend only upon certain separation requirements on the lambda sub k rather than upon the individual sequence lambda sub k. The results are used to study the boundary value controllability of the heat equation in the unit ball of R sup n. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE