Generalized functions as a tool for nonsmooth nonlinear problems in mathematics and physics

Simple item page
dc.creatorColombeau, J. F.
dc.date2006-12-25
dc.date.accessioned2026-07-07T07:40:34Z
dc.date.available2026-07-07T07:40:34Z
dc.descriptionA differential algebra of nonlinear generalized functions is presented as a tool for a wide range of nonsmooth nonlinear problems. The power of the differential algebra is used to do mathematical calculations or proofs; then the final result is often a classical function or distribution which is not solution in the classical or distributional sense. The aim of this text is to invite the readers in applying this tool in their own research without significant prerequisites by presenting its use on a sample of elementary applications from mathematics and physics. This text is the written version of a talk at the 2007 annual meeting of the AMS, NewOrleans, january 2007.
dc.description11 pages;research-expository paper
dc.identifierhttps://arxiv.org/abs/math-ph/0612077
dc.identifierhttp://arxiv.org/abs/math-ph/0612077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121810
dc.subjectMathematical Physics
dc.subjectGeneral Mathematics
dc.subject35D05,35D10,35L67,35Q72,35R05,46F30,65M99,73J30,82D20,83C57
dc.titleGeneralized functions as a tool for nonsmooth nonlinear problems in mathematics and physics
dc.typetext

Files

Collections

arXiv