Regularization for fractional integral. Application to nonlinear equations with singularities

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dc.creatorStojanovic, Mirjana
dc.date2003-11-26
dc.date.accessioned2026-07-07T05:03:17Z
dc.date.available2026-07-07T05:03:17Z
dc.descriptionWe give the regularization for fractional integral by delta sequence and apply it to obtain existence-uniqueness theorems in Colombeau algebras for nonlinear equations with singularities: nonlinear system of integral equations with polar kernel and nonlinear parabolic equations (of ordinary type, with nonlinear conservative term and with Schrödinger kernel) with strongly singular initial data and non-Lipschitz nonlinearities. In a case of nonlinear parabolic equations we do in fact regularization of heat semigroup with delta sequence with respect to the time variable $t.$ We do the same for linear Schrödinger equation.
dc.identifierhttps://arxiv.org/abs/math/0311464
dc.identifierhttp://arxiv.org/abs/math/0311464
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69353
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject46F30, 26A33, 45D05, 35K55, 35Q55
dc.titleRegularization for fractional integral. Application to nonlinear equations with singularities
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