Generalized Solutions to Nonlinear First Order Cauchy Problems
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چکیده
The recent significant enrichment, see [14] through [15], of the Order Completion Method for nonlinear systems of PDEs [12] resulted in the global existence of generalized solutions to a large class of such equations. In this paper we consider the existence and regularity of the generalized solutions to a family of nonlinear first order Cauchy problems. The spaces of generalized solutions are obtained as the completion of suitably constructed uniform convergence spaces. “...provided also if need be that the notion of a solutions shall be suitably extended” –cited form Hilbert’s 20th problem
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تاریخ انتشار 2007