2 citations · 3 across the 4 of their papers we have counts for
8 papers · 1 filter
Optimal transport and the Gauss curvature equation
Nestor Guillen, Jun Kitagawa
In this short note, we consider the problem of prescribing the Gauss curvature and image of the Gauss map for the graph of a function over a domain in Euclidean space. The prescrip…
Quantitative stability in the geometry of semi-discrete optimal transport
Mohit Bansil, Jun Kitagawa
We show quantitative stability results for the geometric "cells" arising in semi-discrete optimal transport problems. Our results show two types of stability, the first is stabilit…
Inverse Iteration for the Monge-Ampère Eigenvalue Problem
Farhan Abedin, Jun Kitagawa
We present an iterative method based on repeatedly inverting the Monge-Ampère operator with Dirichlet boundary condition and prescribed right-hand side on a bounded, convex domain…
An optimal transport problem with storage fees
Mohit Bansil, Jun Kitagawa
We introduce and investigate properties of a variant of the semi-discrete optimal transport problem. In this problem, one is given an absolutely continuous source measure and cost…
Exponential Convergence of Parabolic Optimal Transport on Bounded Domains
Farhan Abedin, Jun Kitagawa
We study the asymptotic behavior of solutions to the second boundary value problem for a parabolic PDE of Monge-Ampère type arising from optimal mass transport. Our main result is…
Estimates for Dirichlet-to-Neumann maps as integro-differential operators
Nestor Guillen, Jun Kitagawa, Russell W. Schwab
Some linear integro-differential operators have old and classical representations as the Dirichlet-to-Neumann operators for linear elliptic equations, such as the 1/2-Laplacian or…