Slow growth of solutions of super-fast diffusion equations with unbounded initial data
Fila, Marek · Winkler, Michael
Original · EN
We study positive solutions of the super-fast diffusion equation in the whole space with initial data which are unbounded as |x|→∞. 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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.