30 citations · 75 across the 19 of their papers we have counts for
4 papers · 1 filter
Application of the -subgradient in a problem of electropermeabilisation
Ralph Chill, Zakaria Belhachmi
We study a coupled elliptic-parabolic Poincaré-Steklov system arising in electrical cell activity in biological tissues. By using the notion of -subgradient, we show that this s…
Nonlinear semigroups generated by -elliptic functionals
Ralph Chill, Daniel Hauer, James B. Kennedy
We generalise the theory of energy functionals used in the study of gradient systems to the case where the domain of definition of the functional cannot be embedded into the Hilber…
Weighted inequalities for singular integral operators on the half-line
Ralph Chill, Sebastian Krol
We prove weighted estimates for singular integral operators which operate on function spaces on a half-line. The class of admissible weights includes Muckenhoupt weights and weight…
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…