On the Arbitrariness of the General Solution ofan

نویسنده

  • Werner M. Seiler
چکیده

The relationship between the strength of a diierential equation as introduced by Einstein, its Cartan characters and its Hilbert polynomial is studied. Using the framework of formal theory previous results are extended to non-linear equations of arbitrary order and to over-determined systems. The problem of computing the number of arbitrary functions in the general solution is treated. Finally, the eeect of gauge symmetries is considered.

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تاریخ انتشار 1994