74 citations · 218 across the 35 of their papers we have counts for
4 papers · 1 filter
Stabilization of second-order evolution equations with time delay
Serge Nicaise, Cristina Pignotti
We consider second-order evolution equations in an abstract setting with damping and time delay and give sufficient conditions ensuring exponential stability. Our abstract framewor…
Stability results for second-order evolution equations with switching time-delay
Serge Nicaise, Cristina Pignotti
We consider second-order evolution equations in an abstract setting with intermittently delayed/ not-delayed damping. We give sufficient conditions for asymptotic and exponential s…
The heat equation under linear conditions on the moments in higher dimensions
Delio Mugnolo, Serge Nicaise
We consider the heat equation on the -dimensional cube and impose different classes of integral conditions, instead of usual boundary ones. Well-posedness results for…
Diffusion processes on an interval under linear moment conditions
Delio Mugnolo, Serge Nicaise
We discuss a class of diffusion-type partial differential equations on a bounded interval and discuss the possibility of replacing the boundary conditions by certain linear conditi…