Symmetry group analysis of weak solutions

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dc.creatorDapic, N.
dc.creatorKunzinger, M.
dc.creatorPilipovic, S.
dc.date2001-04-04
dc.date2001-10-17
dc.date.accessioned2026-07-07T04:41:00Z
dc.date.available2026-07-07T04:41:00Z
dc.descriptionMethods of Lie group analysis of differential equations are extended to weak solutions of (linear and nonlinear) PDEs, where the term ``weak solution'' comprises the following settings: (a) Distributional solutions. (b) Solutions in generalized function algebras. (c) Solutions in the sense of association (corresponding to a number of weak or integral solution concepts in classical analysis). Factorization properties and infinitesimal criteria are developed that allow to treat all three settings simultaneously, thereby unifying and extending previous work in this area.
dc.description25 pages, final version, to appear in Proc. London Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0104055
dc.identifierhttp://arxiv.org/abs/math/0104055
dc.identifierProc. London Math. Soc. 84 (3), 686-710, 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61236
dc.subjectFunctional Analysis
dc.subjectAnalysis of PDEs
dc.subject46F30, 22E70, 35Dxx, 35A30
dc.titleSymmetry group analysis of weak solutions
dc.typetext

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