Chenchen Mou

Chenchen Mou's Picture

Department of Mathematics
University of California, Los Angeles
520 Portola Plaza
Los Angeles 90095, CA, USA

Office: 5338
E-mail Address: muchenchen [at] math [dot] ucla [dot] edu
Phone: 678-296-4086

Research Interests
I am an Assistant Adjunct Professor at the Department of Mathematics of UCLA. I work under the mentorship of Prof. Wilfrid Gangbo. I graduated from Georgia Institute of Technology. I was a student of Prof. Andrzej Swiech and Prof. Yingfei Yi. My research interests are: For more information, see my CV.

Publications and Preprints
  1. Coupling Levy measures and comparison principles for viscosity solutions, with N. Guillen and A. Swiech, preprint.
  2. Geodesic of minimal length in the set of probability measures on graphs, with W. Gangbo and W. Li, preprint.
  3. Existence of C^\alpha solutions to integro-PDEs, preprint.
  4. Stochastic representations for solutions to nonlocal Bellman equations, with R. Gong and A. Swiech, preprint.
  5. Remarks on Schauder estimates and existence of classical solutions for a class of uniformly parabolic Hamilton-Jacobi-Bellman integro-PDE, to appear in J. Dynam. Differential Equations.
  6. Aleksandrov-Bakelman-Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE, with A. Swiech, J. Differential Equations 264 (2018), 2708--2736.
  7. Perron's method for nonlocal fully nonlinear equations, Anal. PDE 10 (2017), 1227-1254.
  8. Interior regularity for nonlocal fully nonlinear equations with Dini continuous terms, J. Differential Equations 260 (2016), 7892--7922.
  9. Semiconcavity of viscosity solutions for a class of degenerate elliptic integro-differential equations in R^n, Indiana Univ. Math. J. 65 (2016), 1891-1920.
  10. Uniqueness of viscosity solutions for a class of integro-differential equations, with A. Swiech, NoDEA Nonlinear Differential Equations Appl. 22 (2015), 1851-1882.
  11. Interior regularity for regional fractional Laplacian, with Y. Yi, Comm. Math. Phys. 340 (2015), 233-251.
  12. Nonlinear elliptic systems involving the fractional Laplacian in the unit ball and on a half space, Commun. Pure Appl. Anal. 14 (2015), 2335-2362.