Dmitry Vorotnikov

1. Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems
   2019/05/15 by Dmitry Vorotnikov, Vorotnikov, Dmitry · 3 citations
   Physics and Astronomy · #35D99 #37K58 #47A56 #49Q22 #76M30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Quantum chaos and dynamical systems
2. 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
3. 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)