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

Jan Harm van der Walt

Abstract and Applied Analysis, 2013, vol. 2013, 1-12

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:739462

DOI: 10.1155/2013/739462

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