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arXiv · 2105.12910

Solutions with snaking singularities for the fast diffusion equation

M. Fila·J. R. King·J. Takahashi·E. Yanagida
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Abstract

We construct solutions of the fast diffusion equation, which exist for all $t\in\mathbb{R}$ and are singular on the set $\Gamma(t):= \{ \xi(s) ; -\infty 0$, where $\xi\in C^3(\mathbb{R};\mathbb{R}^n)$, $n\geq 2$. We also give a precise description of the behavior of the solutions near $\Gamma(t)$.

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M. Fila, J. R. King, J. Takahashi, E. Yanagida. 2021-05-27. Solutions with snaking singularities for the fast diffusion equation. https://arxiv.org/abs/2105.12910

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