33 citations · 106 across the 18 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.FA2013★ 26 cited
Product formulas in functional calculi for sectorial operators
Charles Batty, Alexander Gomilko, Yuri Tomilov
We study the product formula in the framework of (unbounded) functional calculus of sectorial operators . We give an abstract result, and, as corollaries, w…
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.
math.FA2013★ 3 cited
Fine scales of decay of operator semigroups
Charles Batty, Ralph Chill, Yuri Tomilov
Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and…