Regional, single point, and global blow-up for the fourth-order porous medium type equation with source

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dc.creatorGalaktionov, V. A.
dc.date2009-01-27
dc.date.accessioned2026-07-07T12:34:54Z
dc.date.available2026-07-07T12:34:54Z
dc.descriptionThree types of blow-up for a fourth-order degenerate reaction-diffusion equation are studied by a combination of analytic and numerical methods. At the critical values of parameters, there occurs a variational problem with a countable set of solutions obtained by Lysternik--Shnirelman category theory, which then are extended to neighbouring values of parameters by a homotopy-like approach.
dc.description39 pages, 28 figures
dc.identifierhttps://arxiv.org/abs/0901.4279
dc.identifierhttp://arxiv.org/abs/0901.4279
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217605
dc.subjectAnalysis of PDEs
dc.subject35K55, 35K40, 35K65
dc.titleRegional, single point, and global blow-up for the fourth-order porous medium type equation with source
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