Sumários
Lesson no. 4: The Laplace equation, part III
1 Março 2019, 12:00 • Hugo Tavares
Local estimates for the gradient, Liouville Theorem.
The fundamental solution of the Laplace Equation. Solution of the Poisson equation in the whole space.
Lesson no.3: The Laplace Equation, part II.
26 Fevereiro 2019, 14:00 • Hugo Tavares
The weak and Strong maximum principles, and some of its consequences: uniqueness, stability and comparison results.
Energy methods: uniqueness of solution.Regularity theorem for harmonic function.
Solution to exercises 2 and 4(i)(ii)(iii) of Exercise Sheet 1.
Lesson no. 2. The transport Equation. The Laplace equation, part I
22 Fevereiro 2019, 12:00 • Hugo Tavares
Equation for a general conservation law. Deduction of the Transport and Diffusion/Heat equations.