随机符号快速扩散和自组织临界的有限时间绝灭
Finite time extinction for stochastic sign fast diffusion and self-organized criticality
摘要：
证明了线性乘性时空噪声驱动的随机符号快扩散方程的有限时间绝灭性，对应于自组织临界的Bak-Tang-Wiesenfeld模型.这解决了几个作品中提出的问题，并留下了开放：[Barbu，Da Prato，Röckner，CMP，2009]，[Barbu，Da Prato，Röckner，CRMAS，2009]，[Barbu，Röckner，CMP，2012]，[Barbu，Da Prato，Röckner，JMAA，2012]，[Röckner，Wang，JMLS，2013]，[Barbu，MMAS，2013]。高度奇异退化性质的漂移与随机扰动的相互作用，导致需要新的方法在分析质量扩散和几个新的估计和技术的介绍。
英文摘要：
We prove finite time extinction for stochastic sign fast diffusion equations driven by linear multiplicative space-time noise, corresponding to the Bak-Tang-Wiesenfeld model for self-organized criticality. This solves a problem posed and left open in several works: [Barbu, Da Prato, Röckner, CMP, 2009], [Barbu, Da Prato, Röckner, CRMAS, 2009], [Barbu, Röckner, CMP, 2012], [Barbu, Da Prato, Röckner, JMAA, 2012], [Röckner, Wang, JMLS, 2013], [Barbu, MMAS, 2013]. The highly singular-degenerate nature of the drift in interplay with the stochastic perturbation causes the need for new methods in the analysis of mass diffusion and several new estimates and techniques are introduced.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
