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On stabilization of the solutions of parabolic equations with small parameter

We consider two classes of quasi-linear parabolic equations depending on a small parameter ε. The asymptotic behavior of the solutions as t → α and ε → 0 is investigated by studying the associated Markov family. We find its dependence on the way t and ε(-1) go to infinity and on the initial point.

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Detalles Bibliográficos
Publicado en:Proc Natl Acad Sci U S A
Autor Principal: Freidlin, M. I.
Formato: Artigo
Idioma:Inglês
Publicado: National Academy of Sciences 1984
Assuntos:
Acceso en liña:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC391680/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593503/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.81.16.5267
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