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Research:
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Nonlinear Partial Differential Equations
(Bellman, Isaacs, and Black-Scholes equations and non-local versions, fractional conservation laws...)
Mathematical theory of Viscosity Solutions/Weak Solutions
(Existence, uniqueness, continuous dependence, regularity, approximation...)
Numerical Methods, Convergence, and Error Estimates
(Finite difference, Semi-Lagrangian, and Galerkin methods ...)
Stochastic Control Theory, Mathematical Finance
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