Lesson 19: Elliptic Problems, part I

4 Maio 2018, 11:00 • Hugo Tavares

Variational Formulation of Elliptic Problems:
-definition of second order elliptic operator in divergence and non-divergence form.
- brief commants about several definitions of solution: classical, strong, distributional solutions.
The notion of weak solution in the particular case Lu=-Delta u + u:
- homogeneous Dirichlet boundary conditions; the Dirichlet's principle.