The order completion method for systems of nonlinear PDEs: solutions of initial value problems
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Date
Authors
Van der Walt, Jan Harm
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Abstract
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 partial derivatives as nearly finite normal lower semicontinuous function.
Description
Keywords
Nonlinear partial differential equations (PDEs)
Sustainable Development Goals
Citation
Van der Walt, JH 2013, 'The order completion method for systems of nonlinear PDEs : solutions of initial value problems', Abstract and Applied Analysis, vol. 2013, no. ID739462, pp. 1-12.