46 citations · 144 across the 25 of their papers we have counts for
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math-ph2017★ 2 cited
Energy decay for the Klein-Gordon equation with highly oscillating damping
Julien Royer
We consider the free Klein-Gordon equation with periodic damping. We show on this simple model that if the usual geometric condition holds then the decay of the energy is uniform w…
math-ph2017
Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation
Romain Joly, Julien Royer
We prove local and global energy decay for the asymptotically periodic damped wave equation on the Euclidean space. Since the behavior of high frequencies is already mostly underst…
math-ph2017
Reduction of dimension as a consequence of norm-resolvent convergence and applications
David Krejcirik, Nicolas Raymond, Julien Royer +1
This paper is devoted to dimensional reductions via the norm resolvent convergence. We derive explicit bounds on the resolvent difference as well as spectral asymptotics. The effic…