Variational approach to complicated similarity solutions pf higher-order nonlinear PDEs. I

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dc.creatorGalaktionov, V. A.
dc.creatorMitidieri, E.
dc.creatorPohozaev, S. I.
dc.date2009-02-09
dc.date.accessioned2026-07-07T12:39:28Z
dc.date.available2026-07-07T12:39:28Z
dc.descriptionThree classes of higher-order nonlinear parabolic hyperbolic, and nonlinear dispersion equations are shown to admit exact blow-up or compacton solutions, which are induced by elliptic equations with non-Lipschitz nonlinearities. Variational techniques give countable families of various compactly supported solutions with oscllatory behaviour cloase to the interfaces. Overall, the whole set of such compact patterns reveals certain chaotic properties and contains solutions of arbitrary complexity.
dc.description41 pages, 27 figures
dc.identifierhttps://arxiv.org/abs/0902.1425
dc.identifierhttp://arxiv.org/abs/0902.1425
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219121
dc.subjectAnalysis of PDEs
dc.subject35K55, 35K40, 35K65
dc.titleVariational approach to complicated similarity solutions pf higher-order nonlinear PDEs. I
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