Lecturer:
Course Type:
PhD Course
Academic Year:
2014-2015
Period:
October-January
Duration:
50 h
Description:
- Introduction to partial differential equations (PDEs).
- Linear wave and Schroedinger equation, linear transport and heat equation, Laplace and Poisson equation: fundamental solutions and representation formulas.
- Harmonic functions, maximum principle, analiticity, Green's functions.
- Periodic boundary conditions: resolution by Fourier series.
- Equations on R^n: resolution by Fourier transform.
- Dispersive equations.
- Energy estimates.
- Some existence and unicity results concerning the initial value problem of nonlinear PDEs of evolution type, like the Schroedinger equation.
Research Group:
Location:
A-133