Differential chain of algebras of generalized functions

DOI10.30755/nsjom.09803MaRDI QIDQ6115969

Dennis F. Agbebaku, Jan Harm van der Walt

Publication date: 13 July 2023

Published in: Novi Sad Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonlinear PDEsgeneralized functionsdifferential algebrasdifferential chain of algebras

Mathematics Subject Classification ID

Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Generalized solutions to partial differential equations (35D99)

Cites Work

• Solutions of smooth nonlinear partial differential equations
• The order convergence structure
• The order completion method for systems of nonlinear PDEs: pseudo-topological perspectives
• The order completion method for systems of nonlinear PDEs revisited
• Distributions and nonlinear partial differential equations
• Embedding distributions in algebras of generalized functions with singularities
• Completion of semiuniform convergence spaces
• Order convergence structure onC(X)
• The completion of uniform convergence spaces and an application to nonlinear PDEs
• OPTIMAL EMBEDDINGS OF DISTRIBUTIONS INTO ALGEBRAS
• The Uniform Order Convergence Structure onML(X)
• Ein Komplettierungsfunktor für uniforme Limesräume
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