Review weak solution to Parabolic PDE: existence, uniqueness, Maximum principle etc., Semi-group theory and applications, Fractional-diffusion problems: existence and uniqueness, and regularity theory, Finite element analysis of evolution equations.

Review weak solution to Parabolic PDE: existence, uniqueness, Maximum principle etc., Semi-group theory and applications, Fractional-diffusion problems: existence and uniqueness, and regularity theory, Finite element analysis of evolution equations.