Year: 2006
Type: preprint
Abstract: This paper is a tutorial that demonstrates various methods from the Colombeau theory of generalized functions in the context of semilinear wave equations. The Colombeau generalized functions constitute differential algebras that contain the space of distributions. We solve the 1D-semilinear wave equation in these algebras, show how delta waves can be computed and then turn to linear and nonlinear regularity theory.
Source: arXiv (Cornell University)
Author: Oberguggenberger, Michael
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1490194615