Research interests

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

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