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)