Research interest

Research interests

  • Decay estimates for hyperbolic equations
  • Nonlinear wave equations
  • Nonlinear inequalities
  • Crystal optics
  • Well-posedness for linear hyperbolic systems
  • Nonlinear elliptic systems
  • Nonlinear Schrödinger equations

Research tools

  • Stationary phase methods;
  • Strichartz type estimates
  • Energy inequalities
  • Pseudo-differential operators
  • Real and complex interpolation
  • Weighted spaces
  • Generalized Fourier transform
  • Test functions method
  • Stationary solutions