Uniform Bounds on Biorthogonal Functions for Real Exponentials with an Application to the Control Theory of Parabolic Equations.
Abstract
In the report the authors study harmonic properties of sequences (e - (lambda sub k)t) 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 2)(0,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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 16, 1973
- Accession Number
- AD0765759
Entities
People
- David L. Russell
- Hector O. Fattorini
Organizations
- University of Wisconsin Madison Department of Mathematics