Examples of PDE

1. PDE Exercises given is a solution of the homogeneous Cauchy problem, with , Let be sufficiently often continuously differentiable. Show without using any explicit formular for that the function Qg defined by where is the solution of the Cauchy problem for the inhomogeneous wave equation with right hand side g and zero initial conditions.… Continue reading Examples of PDE

Notebooks: Generalized Functions and PDE

In the style of Cosma Shalizi’s notebooks I’m including some links to things that I’ve read recently. This little one is written about PDE, Generalized Functions and Differential Equations. Historically generalized functions were first used in Physics by Heaviside and Dirac. Schwartz the great analyst came along and added rigour. Introduction to Generalized Functions with… Continue reading Notebooks: Generalized Functions and PDE