Solutions with snaking singularities for the fast diffusion equation

التفاصيل البيبلوغرافية
العنوان: Solutions with snaking singularities for the fast diffusion equation
المؤلفون: Fila, M., King, J. R., Takahashi, J., Yanagida, E.
سنة النشر: 2021
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs
الوصف: 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
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/2105.12910Test
رقم الانضمام: edsarx.2105.12910
قاعدة البيانات: arXiv