RAGE theorem for power bounded operators and decay of local energy for moving obstacles
Recent existence and regularity results for wave maps
Reflectionless boundary propagation formulas for partial wave solutions to the wave equation.
Regular Solutions of Initial-Boundary Value Problems for Linear and Nonlinear Wave - Equations I.
Regular Solutions of Initial-Boundary Value-Problems for Linear and Nonlinear Wave-Equations. II.
Régularité lipschitzienne et solutions de l'équation des ondes sur une variété riemannienne compacte
Régularité lipschitzienne et solutions de l'équation des ondes sur une variété riemannienne compacte
Regularizing estimates for Schrödinger and wave equations
Relation de Poisson pour l'équation des ondes dans un ouvert non borné. Application au scattering
Relation de Poisson pour l'équation des ondes dans un ouvert non borné
Remark on periodic solutions of a linear wave equation in one dimension
Remark to the comparison of solution properties of Love's equation with those of wave equation
In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used.
Remarque sur «R. G. McLenaghan : on the validity of Huygens principle for second order partial differential equations with four independent variables. I»
Removability of the wave singularities in the plane.
Removability of the wave singularities in the plane. (Summary).
Resolvent estimates and the decay of the solution to the wave equation with potential
We prove a weighted estimate for the solution to the linear wave equation with a smooth positive time independent potential. The proof is based on application of generalized Fourier transform for the perturbed Laplace operator and a finite dependence domain argument. We apply this estimate to prove the existence of global small data solution to supercritical semilinear wave equations with potential.
Resolvent estimates for scalar fields with electromagnetic perturbation.
Resolvent estimates in controllability theory and applications to the discrete wave equation
We briefly present the difficulties arising when dealing with the controllability of the discrete wave equation, which are, roughly speaking, created by high-frequency spurious waves which do not travel. It is by now well-understood that such spurious waves can be dealt with by applying some convenient filtering technique. However, the scale of frequency in which we can guarantee that none of these non-traveling waves appears is still unknown in general. Though, using Hautus tests, which read the...
Resonances for transparent obstacles
This paper is concerned with the distribution of the resonances near the real axis for the transmission problem for a strictly convex bounded obstacle in , , with a smooth boundary. We consider two distinct cases. If the speed of propagation in the interior of the body is strictly less than that in the exterior, we obtain an infinite sequence of resonances tending rapidly to the real axis. These resonances are associated with a quasimode for the transmission problem the frequency support of...