201 citations · 622 across the 33 of their papers we have counts for
40 papers
Nonlinear interpolation and the flow map for quasilinear equations
Thomas Alazard, Nicolas Burq, Mihaela Ifrim +2
We prove an interpolation theorem for nonlinear functionals defined on scales of Banach spaces that generalize Besov spaces. It applies to functionals defined only locally, requiri…
Domains of dependence for subelliptic wave equations and unique continuation for fractional powers of Hörmander's operators
Nicolas Burq, Claude Zuily
We prove the sharp domain of dependence property for solutions to subelliptic wave equations for sums of squares of vector fields satisfying Hörmander bracket condition. We deduce…
Measure propagation along a -vector field and wave controllability on a rough compact manifold
Nicolas Burq, Belhassen Dehman, Jérôme Le Rousseau
The celebrated Rauch-Taylor/Bardos-Lebeau-Rauch geometric control condition is central in the study of the observability of the wave equation linking this property to high-frequenc…
Strichartz estimates for Maxwell equations on domains with perfectly conducting boundary conditions
Nicolas Burq, Robert Schippa
We consider Maxwell equations on a smooth domain with perfectly conducting boundary conditions in isotropic media in two and three dimensions. In the charge-free case we recover St…
Simultaneous control for the heat equation with dirichlet and neumann boundary conditions
Iván Moyano, Nicolas Burq
It is well known that both the heat equation with Dirichlet or Neumann boundary conditions are null controlable as soon as the control acts in a non trivial domain (i.e. a set of p…
A remark on the logarithmic decay of the damped wave and Schrödinger equations on a compact Riemannian manifold
Iván Moyano, Nicolas Burq
In this paper we consider a compact Riemannian manifold (M, g) of class C 1 W 2, and the damped wave or Schrödinger equations on M , under the action of a damping fu…