Vast multiplicity of very singular self-similar solutions of a semilinear higher-order diffusion equation with time-dependent absorption

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dc.creatorGalaktionov, V. A.
dc.date2009-01-27
dc.date.accessioned2026-07-07T12:34:55Z
dc.date.available2026-07-07T12:34:55Z
dc.descriptionIt is shown that a fourth-order semilinear parabolic equation with time-dependent absorption admit a vast multiplicity of the so-called very singular self-similar solutions (VSSs), which can bifurcate from some eigenfunctions of the linearized operators and also are generated by branching from other critical point. For the second-order semilinear heat equations, such VSSs have been known since the beginning of the 1980s and were constructed in papers by Brezis, Friedman, Galaktionov, Kyrdyumov, Samarskii, Peletier, Kamin, Veron, and many others.
dc.description26 pages, 19 figures
dc.identifierhttps://arxiv.org/abs/0901.4298
dc.identifierhttp://arxiv.org/abs/0901.4298
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217612
dc.subjectAnalysis of PDEs
dc.subject35K55, 35K40, 35K65
dc.titleVast multiplicity of very singular self-similar solutions of a semilinear higher-order diffusion equation with time-dependent absorption
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