Field of Research: Analysis 

•  Analysis of Nonlinear Partial Differential Equations
•  Applied Functional Analysis

Current Research Interests

• Nonlinear Evolution Equations
• Nonlinear Semigroups
• Monotone/Accretive Operators
• L¹-Theory
• Renormalized Solutions, Entropy Solutions
• Lebesgue Spaces with Variable Exponent and Generalized Orlicz Spaces
• Scalar Conservation Laws
• Nonlinear PDEs of Mixed Type
• Integro-Differential Equations (especially with Fractional Time Derivative)
• Nonlocal Nonlinear Diffusion Equations
• Stochastic Nonlinear PDEs
• Numeric Approximation Methods (especially Finite Volume Approximations for Nonlinear PDEs)