The order completion method for systems of nonlinear PDEs: solutions of initial value problems

dc.contributor.authorVan der Walt, Jan Harm
dc.contributor.editorStanek, Svatoslav
dc.contributor.emailjanharm.vanderwalt@up.ac.zaen_US
dc.date.accessioned2013-04-22T07:19:58Z
dc.date.available2013-04-22T07:19:58Z
dc.date.issued2013
dc.description.abstractWe 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.en_US
dc.description.librarianam2013en_US
dc.description.urihttp://www.hindawi.com/journals/aaa/en_US
dc.format.extent13 p.en_US
dc.format.mediumPDFen_US
dc.identifier.citationVan 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.en_US
dc.identifier.issn1085-3375
dc.identifier.other10.1155/2013/739462
dc.identifier.urihttp://hdl.handle.net/2263/21348
dc.language.isoenen_US
dc.publisherHindawi Publishing Corporationen_US
dc.rights© 2013 Jan Harm van der Walt. This is an open access article distributed under the Creative Commons Attribution Licenseen_US
dc.subjectNonlinear partial differential equations (PDEs)en_US
dc.titleThe order completion method for systems of nonlinear PDEs: solutions of initial value problemsen_US
dc.typeArticleen_US

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