학술논문
Solutions with snaking singularities for the fast diffusion equation
Document Type
Working Paper
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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 $\Gamma(t)$.
Comment: To appear in Transactions of the American Mathematical Society
Comment: To appear in Transactions of the American Mathematical Society