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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| Veröffentlicht in: | Proc Natl Acad Sci U S A |
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
National Academy of Sciences
1984
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| Online-Zugang: | 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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