Sumários
Lesson 4: The Laplace equation, part III.
2 Março 2018, 11:00 • Hugo Tavares
Regularity Theorem (2nd part).
Exercise class 2
1 Março 2018, 11:00 • Hugo Tavares
Review of know facts. discussion about exercises 1c), 2, 3, 4ii)iii)iv) of Exercise Sheet 1.
The transport equation: solution of exercises 1 of Exercise Sheet 2.
Lesson 3: The Laplace equation, part II.
27 Fevereiro 2018, 14:00 • Hugo Tavares
The weak and Strong maximum principles, and some of its consequences: uniqueness, stability and comparison results.
Lesson 2. The transport Equation. The Laplace equation, part I.
23 Fevereiro 2018, 11:00 • Hugo Tavares
Equation for a general conservation law. Deduction of the Transport and Diffusion/Heat equations.
Exercise class 1
22 Fevereiro 2018, 11:00 • Hugo Tavares
Survey about known facts: functions with compact support, the space of test functions, convolution and mollifiers (Young's inequality, regularization, approximation), the divergence theorem and some of its consequences.