Lecturer:
Course Type:
PhD Course
Master Course
Academic Year:
2024-2025
Period:
October - January
Duration:
50 h
Description:
Topics in advanced analysis II
The course is focused on evolutionary PDEs of first oder: these will comprise
- first order PDEs and the method of characteristics, local existence and uniqueness
- linear transport equation, in particular continuity equation, Lagrangian representation, renormalization and mixing estimates
- hyperbolic systems of conservation laws, well posedness for scalar equation and systems in 1d, non uniqueness for Euler equation in multid
- Hamilton-Jacobi equation, viscosity solutions, Lax formula, regularity, control problems
Research Group:
Location:
A-134