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9 papers · 2 filters
The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees
Jean-Philippe Anker, Guendalina Palmirotta, Yannick Sire
We investigate dispersive and Strichartz estimates for the Schrödinger equation involving the fractional Laplacian in real hyperbolic spaces and their discrete analogues, homogeneo…
Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions
Guy Barles, Olivier Ley, Erwin Topp
In this article, we consider nonlocal Hamilton-Jacobi Equations on networks with Kirchhoff type conditions for the interior vertices and Dirichlet boundary conditions for the bound…
Fully nonlinear elliptic PDEs in thin domains with oblique boundary condition
Isabeau Birindelli, Ariela Briani, Hitoshi Ishii
In this preprint we consider fully nonlinear equations in thin domains with oblique boundary condition, finding some new phenomena, in particular the limit equation contains "new t…
Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction
Yimei Li, Laurent Véron
We study the local properties of positive solutions of the equation in a punctured domain of where are positive para…
The principal eigenvalue problem for time-periodic nonlocal equations with drift
Bertrand Cloez, Adil El Abdouni, Pierre Gabriel
In this work, we consider a general time-periodic linear transport equation with integral source term. We prove the existence of a Floquet principal eigenvalue, namely a real numbe…
Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in a domain
Kleber Carrapatoso, Pierre Gabriel, Richard Medina +1
We consider a general Kinetic Fokker-Planck (KFP) equation in a domain with Maxwell reflection condition on the boundary, not necessarily with conservation of mass. We establish th…