Title
Slow growth of solutions of superfast diffusion equations with unbounded initial data.
Abstract
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 Fila143.58
Michael Winkler2235.52