Title | ||
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Slow growth of solutions of superfast diffusion equations with unbounded initial data. |
Abstract | ||
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We study positive solutions of the superfast diffusion equation in the whole space with initial data which are unbounded as |x| -> infinity. We find an explicit dependence of the slow temporal growth rate of solutions on the initial spatial growth rate. A new class of self-similar solutions plays a significant role in our analysis. |
Year | DOI | Venue |
---|---|---|
2017 | 10.1112/jlms.12029 | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES |
Field | DocType | Volume |
Mathematical analysis,Diffusion equation,Mathematics,Growth rate | Journal | 95.0 |
Issue | ISSN | Citations |
2 | 0024-6107 | 0 |
PageRank | References | Authors |
0.34 | 1 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Marek Fila | 1 | 4 | 3.58 |
Michael Winkler | 2 | 23 | 5.52 |