The Order Completion Method for Systems of Nonlinear PDEs Revisited
نویسنده
چکیده
In this paper we presents further developments regarding the enrichment of the basic Theory of Order Completion as presented in (Oberguggenberger and Rosinger, 1994). In particular, spaces of generalized functions are constructed that contain generalized solutions to a large class of systems of continuous, nonlinear PDEs. In terms of the existence and uniqueness results previously obtained for such systems of equations (van der Walt, 2008 [2]), one may interpret the existence of generalized solutions presented here as a regularity result.
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تاریخ انتشار 2008