Sumários
The Laplace equation (part II): harmonic functions, regularity and local estimates
27 Setembro 2019, 11:00 • Manuel Duque Pereira Monteiro Marques
Uniqueness for the Poisson equation, by an energy method.
Convolution, test functions and mollifiers
26 Setembro 2019, 11:00 • Manuel Duque Pereira Monteiro Marques
A survey on properties of test functions and approximation of functions by convolution with mollifiers.
The Laplace equation (part I)
24 Setembro 2019, 10:00 • Manuel Duque Pereira Monteiro Marques
Harmonic functions of one and two real variables; link with holomorphic functions.
The Transport equation.
20 Setembro 2019, 11:00 • Manuel Duque Pereira Monteiro Marques
Equation for a general conservation law. Deduction of the Transport and Diffusion/Heat equations.
The Transport equation. Explicit solutions for the homogeneous and nonhomogeneous cases. A weak formulation using test functions.
Preliminaries.
19 Setembro 2019, 11:00 • Manuel Duque Pereira Monteiro Marques
Preliminaries: Lebesgue spaces, convolution, divergence theorem.