R. Joly

activity

20072025

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

8 citations · 8 across the 7 of their papers we have counts for

collaborators

Showing 2019 · math.APShow all

2 papers · 2 filters

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…