Intrinsic scaling method for doubly nonlinear parabolic equations and its application
Intrinsic scaling method for doubly nonlinear parabolic equations and its application
复制标题
双非线性抛物型方程的本征标度法及其应用
DOI：
10.1515/acv-2020-0109
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发表时间：
2021
影响因子：
1.7
通讯作者：
Kenta Nakamura
中科院分区：
文献类型：
--
作者：
M. Misawa;Kenta Nakamura
摘要本文考虑了一类快速扩散型双非线性抛物方程？-Sobolev型流动，并设计了一种新的内标度方法，将原型双非线性方程转化为？-Sobolev型流。作为一个应用，我们证明了？-Sobolev型大数据流。
Abstract In this article, we consider a fast diffusive type doubly nonlinear parabolic equation, called ?-Sobolev type flows, and devise a new intrinsic scaling method to transform the prototype doubly nonlinear equation to the ?-Sobolev type flows. As an application, we show the global existence and regularity for the ?-Sobolev type flows with large data.