Email this article Stabilization of Solutions to the Dirichlet Problem in a Cylindrical Domain for the Parabolic p-Laplacian
- Authors: Surnachev M.D.1
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Affiliations:
- Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences
- Issue: Vol 219, No 2 (2016)
- Pages: 275-299
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238550
- DOI: https://doi.org/10.1007/s10958-016-3105-6
- ID: 238550
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Abstract
We prove a criterion for pointwise stabilization of bounded solutions to nonlinear parabolic p-Laplacian type equations in a cylindrical domain with an unbounded base. The criterion is formulated in terms of a Wiener series or integral and can be regarded as the condition of regularity of a point at infinity. Bibliography: 32 titles.
About the authors
M. D. Surnachev
Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences
Author for correspondence.
Email: peitsche@yandex.ru
Russian Federation, 4, Miusskaya sq., Moscow, 125047
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