44 citations · 135 across the 29 of their papers we have counts for
4 papers · 1 filter
Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type nonlinearity
Jean-Baptiste Casteras, Léonard Monsaingeon
In this paper, we construct invariant measures and global-in-time solutions for a fractional Schr\" odinger equation with a Moser-Trudinger type nonlinearity $$ i\partial_t u= (-Δ)…
Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps
Hugo Lavenant, Léonard Monsaingeon, Luca Tamanini +1
If is a harmonic map valued in a metric space and is a convex function, in the sense that it ge…
Schrödinger encounters Fisher and Rao: a survey
Léonard Monsaingeon, Dmitry Vorotnikov
In this short note we review the dynamical Schrödinger problem on the non-commutative Fisher-Rao space of positive semi-definite matrix-valued measures. The presentation is meant t…
A degenerate elliptic-parabolic system arising in competitive contaminant transport
Margarida Baía, Farid Bozorgnia, Léonard Monsaingeon +1
In this work we investigate a coupled system of degenerate and nonlinear partial differential equations governing the transport of reactive solutes in groundwater. We show that the…