The Quenching Problem in the Nonlinear Heat Equations

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In this paper we study the quenching problem in nonlinear heat equations with power nonlinearities. For nonlinearities of power p<0 and for an open set of slowly varying initial conditions we prove that the solutions will collapse in a finite time. We find the collapse profile and estimate the remainder.
33 Pages

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Analysis of PDEs, Mathematical Physics, 35K57

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http://salesiana.dossiersoluciones.com/handle/123456789/119839

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612110
 http://arxiv.org/abs/math/0612110

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arXiv