81 citations · 350 across the 28 of their papers we have counts for
5 papers · 1 filter
Asymptotics for infinite systems of differential equations
Lassi Paunonen, David Seifert
This paper investigates the asymptotic behaviour of solutions to certain infinite systems of ordinary differential equations. In particular, we use results from ergodic theory and…
Ritt operators and convergence in the method of alternating projections
Catalin Badea, David Seifert
Given closed subspaces of a Hilbert space , let denote the orthogonal projection onto , . It is known that the sequence …
Optimal energy decay in a one-dimensional coupled wave-heat system
C. J. K. Batty, L. Paunonen, D. Seifert
We study a simple one-dimensional coupled wave-heat system and obtain a sharp estimate for the rate of energy decay of classical solutions. Our approach is based on the asymptotic…
A quantified Tauberian theorem for sequences
David Seifert
The main result of this paper is a quantified version of Ingham's Tauberian theorem for bounded vector-valued sequences rather than functions. It gives an estimate on the rate of d…
Quantified versions of Ingham's theorem
Ralph Chill, David Seifert
We obtain quantified versions of Ingham's classical Tauberian theorem and some of its variants by means of a natural modification of Ingham's own simple proof. As corollaries of th…