Fields of Research

 

Non-linear elliptic partial differential equations:

  • statements of regularity for quasi-linear elliptic systems
  • Monge-Ampère equations
  • Elliptic equations in piecewise smooth domains

Symmetrization and isoperimetric inequalities

Inverse problems und their numerics:

  • identification of coefficients of partial differential equations
  • form-sensitivity analysis
  • inverse dispersive problems

Approximation theory