Basic Properties of Ultrafunctions

DOI10.1007/978-3-319-04214-5_4zbMath1318.26054arXiv1302.7156OpenAlexW2972182710MaRDI QIDQ5261431

Lorenzo Luperi Baglini, Vieri Benci

Publication date: 3 July 2015

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.7156

zbMATH Keywords

distributionsdelta distributionnon-standard analysisultrafunctionsnon-Archimedean mathematics

Mathematics Subject Classification ID

Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Nonstandard analysis (26E35) Non-Archimedean analysis (26E30)

Related Items (8)

Generalized solutions in PDEs and the Burgers' equation ⋮ The Caccioppoli ultrafunctions ⋮ Generalized functions beyond distributions ⋮ Ultrafunctions and applications ⋮ Towards a Morse theory on Banach spaces via ultrafunctions ⋮ Generalized solutions of variational problems and applications ⋮ A non-Archimedean algebra and the Schwartz impossibility theorem ⋮ An improved setting for generalized functions: fine ultrafunctions

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