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...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/739462 |
| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |