5 citations · 9 across the 4 of their papers we have counts for
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Internal mode-induced growth in d nonlinear Klein-Gordon equations
Tristan Léger, Fabio Pusateri
This note complements the paper \cite{LP} by proving a scattering statement for solutions of nonlinear Klein-Gordon equations with an internal mode in d. We show that small solu…
Internal modes and radiation damping for quadratic Klein-Gordon in 3D
Tristan Léger, Fabio Pusateri
We consider Klein-Gordon equations with an external potential and a quadratic nonlinearity in space dimensions. We assume that is regular and decaying and that the (m…
Spectral projectors, resolvent, and Fourier restriction on the hyperbolic space
Pierre Germain, Tristan Léger
We develop a unified approach to proving boundedness of spectral projectors, the resolvent of the Laplace-Beltrami operator and its derivative on In the c…
On self-similar solutions to degenerate compressible Navier-Stokes equations
Pierre Germain, Tsukasa Iwabuchi, Tristan Léger
We study cavitating self-similar solutions to compressible Navier-Stokes equations with degenerate density-dependent viscosity. We prove both existence of expanders and non-existen…
3D quadratic NLS equation with electromagnetic perturbations
Tristan Léger
In this paper we study the asymptotic behavior of a quadratic Schrödinger equation with electromagnetic potentials. We prove that small solutions scatter. The proof builds on earli…