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

DOI10.1155/2013/739462zbMath1308.35011OpenAlexW2093296321WikidataQ58916832 ScholiaQ58916832MaRDI QIDQ1949502

Jan Harm van der Walt

Publication date: 8 May 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/739462

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Other special methods applied to PDEs (35A25)

Cites Work

• Global version of the Cauchy-Kovalevskaia theorem for nonlinear PDEs
• The order completion method for systems of nonlinear PDEs: pseudo-topological perspectives
• The order completion method for systems of nonlinear PDEs revisited
• Lectures on partial differential equations
• Solving large classes of nonlinear systems of PDEs
• The completion of uniform convergence spaces and an application to nonlinear PDEs
• Dedekind Order Completion ofC(X) by Hausdorff Continuous Functions
• The Uniform Order Convergence Structure onML(X)
• The Normal Completion of the Lattice of Continuous Functions
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