R. Joly

activity

20072025

most citedAdaptation of the generic PDE's results to the notion of prevalence

8 citations · 8 across the 6 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.OC2019

Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall

Alessandro Duca, Romain Joly, Dmitry Turaev

We study the Schrödinger equation $i \partial_{t} ψ = - Δ ψ + V ψ$ on $L^{2} ((0, 1), C)$ where $V$ is a very high and localized potential wall. We aim to perform permutations of the eige…

math.AP2019

Generic transversality of heteroclinic and homoclinic orbits for scalar parabolic equations

Pavol Brunovský, Romain Joly, Geneviève Raugel

In this paper, we consider the scalar reaction-diffusion equations $\partial_{t} u = Δ u + f (x, u, \nabla u)$ on a bounded domain $Ω \subset R^{d}$ of class $C^{2}$ . We show that the h…

math.AP2019

Decay of semilinear damped wave equations:cases without geometric control condition

Romain Joly, Camille Laurent

We consider the semilinear damped wave equation $\partial_{tt}^{2} u (x, t) + γ (x) \partial_{t} u (x, t) = Δ u (x, t) - α u (x, t) - f (x, u (x, t))$ . In this article, we obtain the first results concerning…