Generalized flows and singular ODEs on differentiable manifolds

Simple item page
dc.creatorKunzinger, Michael
dc.creatorOberguggenberger, Michael
dc.creatorSteinbauer, Roland
dc.creatorVickers, James A.
dc.date2003-04-09
dc.date.accessioned2026-07-07T04:56:45Z
dc.date.available2026-07-07T04:56:45Z
dc.descriptionBased on the concept of manifold valued generalized functions we initiate a study of nonlinear ordinary differential equations with singular (in particular: distributional) right hand sides in a global setting. After establishing several existence and uniqueness results for solutions of such equations and flows of singular vector fields we compare the solution concept employed here with the purely distributional setting. Finally, we derive criteria securing that a sequence of smooth flows corresponding to a regularization of a given singular vector field converges to a measurable limiting flow.
dc.description17 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0304131
dc.identifierhttp://arxiv.org/abs/math/0304131
dc.identifierActa Appl. Math, 80, 221-241, (2004).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67036
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subject46F30, 34G20, 46T30, 53B20
dc.titleGeneralized flows and singular ODEs on differentiable manifolds
dc.typetext

Files

Collections

arXiv