33 citations · 106 across the 18 of their papers we have counts for
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math.AP2018★ 27 cited
Optimal energy decay for the wave-heat system on a rectangular domain
Charles Batty, Lassi Paunonen, David Seifert
We study the rate of energy decay for solutions of a coupled wave-heat system on a rectangular domain. Using techniques from the theory of -semigroups, and in particular a wel…
math.AP2015★ 33 cited
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…
math.AP2013
On series of sectorial forms
C. J. K. Batty, A. F. M. ter Elst
We prove a convergence theorem for partial sums of sectorial forms with vertex zero and a common semi-angle. As an example we prove an absorption theorem for sectorial forms.