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Asymptotically self-similar behaviour of global solutions for semilinear heat equations with algebraically decaying initial data
Published online by Cambridge University Press: 26 January 2019
Abstract
We consider the Cauchy problem
$$\left\{ {\matrix{ {u_t = \Delta u + u^p,\quad } \hfill & {x\in {\bf R}^N,\;t \leq 0,} \hfill \cr {u(x,0) = u_0(x),\quad } \hfill & {x\in {\bf R}^N,} \hfill \cr } } \right.$$
Keywords
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 150 , Issue 2 , April 2020 , pp. 789 - 811
- Copyright
- Copyright © Royal Society of Edinburgh 2019
References
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