Research & Study

Research interests

My research interests are in Optimal Transport and Partial Differential Equations. In particular, I’m interested in Monge-Ampere type equations that comes from optimal transport. Also, I’m interested in dynamic setting of optimal transport problem and its gradient flow structure.

  1. Holder regularity of solutions to generated Jacobian equations
    • Pure and Applied Analysis 3-1 (2021), 163–188. DOI 10.2140/paa.2021.3.163
    • In this paper, I generalized local Holder regularity result of G.Loeper( to generated Jacobian equation case.
  2. Synthetic MTW conditions and their equivalence under mild regularity assumption on the cost function
    • ArXiv :
    • In this paper, I show Loeper’s condition and quantitatively quasi-convexity are equivalent when the cost function is C^2 with Lipschitz mixed hessian.

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