Solutions of mKdV in classes of functions unbounded at infinity

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dc.creatorKappeler, T.
dc.creatorPerry, P.
dc.creatorShubin, M.
dc.creatorTopalov, P.
dc.date2006-01-11
dc.date2007-10-06
dc.date.accessioned2026-07-07T08:34:13Z
dc.date.available2026-07-07T08:34:13Z
dc.descriptionIn 1974 P. Lax introduced an algebro-analytic mechanism similar to the Lax L-A pair. Using it we prove global existence and uniqueness for solutions of the initial value problem for mKdV in classes of smooth functions which can be unbounded at infinity, and may even include functions which tend to infinity with respect to the space variable. Moreover, we establish the invariance of the spectrum and the unitary type of the Schr{ö}dinger operator under the KdV flow and the invariance of the spectrum and the unitary type of the impedance operator under the mKdV flow for potentials in these classes.
dc.description35 pages, new results about spectra and eigenfunctions of Schrödinger operators added, new references added
dc.identifierhttps://arxiv.org/abs/math/0601237
dc.identifierhttp://arxiv.org/abs/math/0601237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139356
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q53, 35G25
dc.titleSolutions of mKdV in classes of functions unbounded at infinity
dc.typetext

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