Van der Walt, Jan HarmStanek, Svatoslav2013-04-222013-04-222013Van der Walt, JH 2013, 'The order completion method for systems of nonlinear PDEs : solutions of initial value problems', Abstract and Applied Analysis, vol. 2013, no. ID739462, pp. 1-12.1085-337510.1155/2013/739462http://hdl.handle.net/2263/21348We 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.13 p.PDFen© 2013 Jan Harm van der Walt. This is an open access article distributed under the Creative Commons Attribution LicenseNonlinear partial differential equations (PDEs)Article