Linear ill-posed problems and dynamical systems

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dc.creatorRamm, Alexander G.
dc.date2000-08-03
dc.date2001-10-19
dc.date.accessioned2026-07-07T04:27:56Z
dc.date.available2026-07-07T04:27:56Z
dc.descriptionA linear equation Au=f (1) with a bounded, injective, but not boundedly invertible linear operator in a Hilbert space H is studied. A new approach to solving linear ill-posed problems is proposed. The approach consists of solving a Cauchy problem for a linear equation in H, which is a dynamical system, proving the existence and uniqueness of its global solution u(t), and establishing that u(t) tends to a limit y, as t tends to infinity, and this limit y solves equation (1). The case when f in (1) is given with some error is also studied.
dc.identifierhttps://arxiv.org/abs/math-ph/0008011
dc.identifierhttp://arxiv.org/abs/math-ph/0008011
dc.identifierJ.Math.Anal.Appl., 258, N1, (2001), 448-456
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56604
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.subjectFunctional Analysis
dc.subject47A50, 47B05, 65M30
dc.titleLinear ill-posed problems and dynamical systems
dc.typetext

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