Time-dependent delta-interactions for 1D Schrödinger Hamiltonians

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dc.creatorHmidi, Taoufik
dc.creatorMantile, Andrea
dc.creatorNier, Francis
dc.date2009-03-31
dc.date.accessioned2026-07-07T12:58:34Z
dc.date.available2026-07-07T12:58:34Z
dc.descriptionThe non autonomous Cauchy problem for time dependent 1D point interactions is considered. The regularity assumptions for the coupling parameter are accurately analyzed and show that the general results for non autonomous linear evolution equations in Banach spaces are far from being optimal. In the mean time, this article shows an unexpected application of paraproduct techniques, initiated by J.M. Bony for nonlinear partial differential equations, to a classical linear problem.
dc.identifierhttps://arxiv.org/abs/0903.5452
dc.identifierhttp://arxiv.org/abs/0903.5452
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225282
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleTime-dependent delta-interactions for 1D Schrödinger Hamiltonians
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