Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption

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We study the limit behaviour of solutions of a class of solutions of nonlinear parabolic equations with a degenerate strong absorption. We prove that two types of phenomena can occur: the pointwise singularity or the formation of razor blades (or persistent singularities).
29 pages

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Analysis of PDEs, Classical Analysis and ODEs, 35K60

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http://salesiana.dossiersoluciones.com/handle/123456789/136492

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.0756
 http://arxiv.org/abs/0708.0756

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arXiv