On the foundations of nonlinear generalized functions I

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dc.creatorFarkas, Eva
dc.creatorGrosser, Michael
dc.creatorKunzinger, Michael
dc.creatorSteinbauer, Roland
dc.date1999-12-28
dc.date.accessioned2026-07-07T05:32:31Z
dc.date.available2026-07-07T05:32:31Z
dc.descriptionWe construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential calculus in infinite dimensional (convenient) vector spaces, previous attempts in this direction are unified and completed. Several classification results are achieved and applications to nonlinear differential equations involving singularities are given.
dc.description60 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9912214
dc.identifierhttp://arxiv.org/abs/math/9912214
dc.identifierMem. Amer. Math. Soc. 153, No. 729, 2001.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79681
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subject46F30; 26E15; 46E50; 35D05
dc.titleOn the foundations of nonlinear generalized functions I
dc.typetext

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