How to solve smooth nonlinear PDEs in algebras of generalized functions with dense singularities

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dc.creatorRosinger, E. E.
dc.date2004-06-29
dc.date.accessioned2026-07-07T05:09:48Z
dc.date.available2026-07-07T05:09:48Z
dc.descriptionAs a significant strengthening of properties of earlier algebras of generalized functions, here are presented classes of such algebras which can deal with dense singularities. In fact, the cardinal of the set of singular points can be larger than that of the nonsingular points. This large class of singularities allows the solution of large classes of smooth nonlinear PDEs. This in certain ways overcomes the celebrated 1957 H. Lewy impossibility result.
dc.identifierhttps://arxiv.org/abs/math/0406594
dc.identifierhttp://arxiv.org/abs/math/0406594
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71721
dc.subjectAnalysis of PDEs
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subject35A,B,D,R, 46F30
dc.titleHow to solve smooth nonlinear PDEs in algebras of generalized functions with dense singularities
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