Lesson 19: Elliptic Problems, part I

7 Maio 2019, 10:30 • 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.