Generalized solutions to nonlinear first-order systems (Q1335530)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Generalized solutions to nonlinear first-order systems |
scientific article; zbMATH DE number 650845
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized solutions to nonlinear first-order systems |
scientific article; zbMATH DE number 650845 |
Statements
Generalized solutions to nonlinear first-order systems (English)
0 references
9 October 1994
0 references
The author studies the Cauchy problem for a nonlinear system of the form \(u_ t = f(x,t,u,u_ x)\), \(u(x,0) = u_ 0(x)\) with \(C^ \infty\)- regular functions \(f\) and \(u_ 0\). She proves that the problem has always a unique solution in the class of Colombeau's generalized functions.
0 references
Colombeau's generalized functions
0 references
