Arbeitsgruppe Analysis und Partielle Differentialgleichungen

V5B1 - Advanced Topics in Analysis and PDE (Summer term 2015)



Lecturer:


Lectures:

    Tuesday, 10 (c.t.) - 12 , Room N0.003

    Thursday 10 (c.t.) - 12 , Room N0.003


Contents: Linear and nonlinear dispersive equations

    Quantization and wave packets. Local and global wellposedness for nonlinear wave, Schrödinger, Korteweg-de Vries type and wave map equations, solitons and solitary waves, global dynamics, stability, scattering and blow-up.

Literature:

  • Koch: Nonlinear dispersive equations in Koch/Tataru/Visan: Dispersive equations and nonlinear waves, Birkhäuser 2014
  • Sulem and Sulem: The nonlinear Schrödinger equation. Springer
  • Tao: Nonlinear dispersive equations, AMS

Prerequests:

    Basic knowledge in PDEs and Harmonic analysis (Fourier transform, stationary phase, Littlewood-Paleytheory, interpolation)