The Cardiff Informal Analysis & PDE Seminar

Spring 2018: Tuesdays 12-2 pm room M/1.02

• Jiqiang Zheng (Nice) - Dynamics of nonlinear Schrödinger equations [slides]
  • January 16: Review the history of research of dynamics of the nonlinear Schrödinger equation, mainly concentrating on well-posedness, scattering, blow-up behavior and stability.
• Baptiste Morisse (Cardiff) - Introduction to weakly hyperbolic systems of PDEs
  • January 23: Constant coefficient systems of PDEs and Gevrey spaces
    • Constant coefficients case and Fourier analysis.
    • Case of double eigenvalues and perturbation by lower order term
    • Gevrey functions: definitions and properties
  • January 30: Time-dependent coefficients and energy estimates
    • Wave equations
    • Suitable symmetrizer and energy
    • Well-posedness in Gevrey spaces, and the question of optimal Gevrey index
  • February 27: Continuing Time-dependent coefficients and energy estimates