Vorotnikov, Dmitry

1. A new optimal transport distance on the space of finite Radon measures
   2015/05/28 by Kondratyev, Stanislav, Monsaingeon, Léonard, Vorotnikov, Dmitry · 7 citations
   #28A33 #35Q92 #49Q20 (primary) #58B20 (secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics
2. Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems
   2019/05/15 by Vorotnikov, Dmitry · 3 citations
   #35D99 #37K58 #47A56 #49Q22 #76M30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
3. The dynamical Schrödinger problem in abstract metric spaces
   2020/12/22 by Léonard Monsaingeon, Monsaingeon, Léonard, Luca Tamanini +3 · 3 citations
   Mathematics · Physics and Astronomy · #49J45 #49Q20 #58B20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Numerical methods in inverse problems #Optimization and Control (math.OC) #Statistical Mechanics and Entropy
4. On optimal transport of matrix-valued measures
   2018/08/15 by Brenier, Yann, Vorotnikov, Dmitry · 2 citations
   #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Optimization and Control (math.OC)
5. The Schrödinger problem on the non-commutative Fisher-Rao space
   2020/07/17 by Monsaingeon, Léonard, Vorotnikov, Dmitry · 1 citation
   #28A33 #47A56 #49J45 #49Q20 #58B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC)
6. Dafermos' principle and Brenier's duality scheme for defocusing dispersive equations
   2025/01/09 by Dmitry Vorotnikov, Vorotnikov, Dmitry · 1 citation
   Mathematics · #35D99 #35L90 #37K58 #47A56 #49Q99 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph)