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math.FA2018
A Besov algebra calculus for generators of operator semigroups and related norm-estimates
Charles Batty, Alexander Gomilko, Yuri Tomilov
We construct a new bounded functional calculus for the generators of bounded semigroups on Hilbert spaces and generators of bounded holomorphic semigroups on Banach spaces. The cal…
math.AP2018
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…