A model problem for ultrafunctions

zbMath1292.26073arXiv1212.1370MaRDI QIDQ5409178

Lorenzo Luperi, Vieri Benci

Publication date: 14 April 2014

Full work available at URL: https://arxiv.org/abs/1212.1370

zbMATH Keywords

Dirichlet problemdelta functionnon-standard analysisultrafunctionsnon-Archimedean mathematics

Mathematics Subject Classification ID

Nonstandard analysis (26E35) Generalized solutions to partial differential equations (35D99) Non-Archimedean analysis (26E30) Boundary value problems for second-order elliptic systems (35J57)

Related Items (7)

Generalized solutions in PDEs and the Burgers' equation ⋮ The Caccioppoli ultrafunctions ⋮ Generalized functions beyond distributions ⋮ Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations ⋮ 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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