Sumários
Exercise class 4
15 Março 2018, 11:00 • Hugo Tavares
Laplace and Poisson's equation.
Lesson 7: The Laplace equation, part VI. The Heat Equation, part I.
13 Março 2018, 14:00 • Hugo Tavares
The Dirichlet Principle for the Poisson Problem. The drawbacks of working in the space of C^2 functions.The heat/diffusion equation: initial and boundary conditions. The parabolic cylinder, and the space of C^{2,1} functions. The weak maximum principle and consequences: uniqueness, stability and comparison.
Lesson 6: The Laplace Equation, part V
9 Março 2018, 11:00 • Hugo Tavares
Green's function and Poisson's formula for the ball.
Exercise class 3
8 Março 2018, 11:00 • Hugo Tavares
The transport equation: solution of exercises 2a)b)c).
Laplace and Poisson's equation: solution of exercises 3 and 4 of Exercise Sheet 2.
Lesson 5: The Laplace equation, part IV.
6 Março 2018, 14:00 • Hugo Tavares