The Order Completion Method for Systems of Nonlinear PDEs: Solutions of Initial Value Problems

We present an existence result for generalized solutions of initial value problems obtained through the order completion method. The solutions we obtain satisfy the initial condition in a suitable extended sense, and each such solution may be represented in a canonical way through its generalized pa...

Full description

Bibliographic Details
Main Author: Jan Harm van der Walt
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/739462