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Real interpolation of functions with applications to accretive operators on Banach spaces
Ralph Chill, Praveen Sharma, Sachi Srivastava
We study real interpolation, but instead of interpolating between Banach spaces, we interpolate between general functions taking values in We show the equivalence of…
The Kurdyka-Łojasiewicz-Simon inequality and stabilisation in nonsmooth infinite-dimensional gradient systems
Ralph Chill, Sebastian Mildner
We state and prove a stabilisation result for solutions of abstract gradient systems associated with nonsmooth energy functions on infinite dimensional Hilbert spaces. One feature…
Weak and strong approximation of semigroups on Hilbert spaces
R. Chill, A. F. M. ter Elst
For a sequence of uniformly bounded, degenerate semigroups on a Hilbert space, we compare various types of convergences to a limit semigroup. Among others, we show that convergence…
Maximal regularity in interpolation spaces for second order Cauchy problems
Charles J. K. Batty, Ralph Chill, Sachi Srivastava
We study maximal regularity in interpolation spaces for the sum of three closed linear operators on a Banach space, and we apply the abstract results to obtain Besov and Hölder max…