M. Fila

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20162023

most citedSolvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data

2 citations · 4 across the 9 of their papers we have counts for

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Showing 2021 · math.APShow all

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math.AP2021

Anisotropic and isotropic persistent singularities of solutions of the fast diffusion equation

Marek Fila, Petra Macková, Jin Takahashi +1

The aim of this paper is to study a class of positive solutions of the fast diffusion equation with specific persistent singular behavior. First, we construct new types of solution…

math.AP2021

Solutions with snaking singularities for the fast diffusion equation

M. Fila, J. R. King, J. Takahashi +1

We construct solutions of the fast diffusion equation, which exist for all $t \in R$ and are singular on the set $Γ (t) := {ξ (s); - \infty < s \leq c t}$ , $c > 0$ , where $ξ\in…