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math.AP2023
The reflection coefficient of a fractional reflector
Laurent Demanet, Olivier Lafitte
This paper considers the question of characterizing the behavior of waves reflected by a fractional singularity of the wave speed profile, i.e., of the form \[ c(x_1, x_2, x_3) = c…
math.AP2005★ 7 cited
Numerical verification of a gap condition for linearized NLS
Laurent Demanet, Wilhelm Schlag
We make a detailed numerical study of the spectrum of two Schroedinger operators L_- and L_+ arising in the linearization of the supercritical nonlinear Schroedinger equation (NLS)…
math.AP2004★ 4 cited
The Curvelet Representation of Wave Propagators is Optimally Sparse
Emmanuel J. Candes, Laurent Demanet
This paper argues that curvelets provide a powerful tool for representing very general linear symmetric systems of hyperbolic differential equations. Curvelets are a recently devel…