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Uniqueness and time oscillating behaviour of finite points blow-up solutions of the fast diffusion equation
Published online by Cambridge University Press: 09 August 2019
Abstract
Let n ⩾ 3 and 0 < m < (n − 2)/n. We extend the results of Vazquez and Winkler (2011, J. Evol. Equ. 11, no. 3, 725–742) and prove the uniqueness of finite points blow-up solutions of the fast diffusion equation ut = Δum in both bounded domains and ℝn × (0, ∞). We also construct initial data such that the corresponding solution of the fast diffusion equation in bounded domain oscillates between infinity and some positive constant as t → ∞.
MSC classification
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- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 150 , Issue 6 , December 2020 , pp. 2849 - 2870
- Copyright
- Copyright © 2019 The Royal Society of Edinburgh
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