论文标题
用于准线性问题的本地适应性:底漆
Local well-posedness for quasilinear problems: a primer
论文作者
论文摘要
在PDE中证明了当地的准线性问题,带来了许多困难,其中一些是通用的,而另一些则是更具体的问题。虽然一个常见的标准回到哈达玛德(Hadamard)已经存在很长时间了,但到目前为止,这一主题都存在许多变化和许多误解。 这些笔记的目的是朝着这个方向收集许多古典和最近的想法,并将它们组装成一个凝聚力的路线图,然后可以适应读者的选择问题。
Proving local well-posedness for quasilinear problems in pde's presents a number of difficulties, some of which are universal and others of which are more problem specific. While a common standard, going back to Hadamard, has existed for a long time, there are by now both many variations and many misconceptions in the subject. The aim of these notes is to collect a number of both classical and more recent ideas in this direction, and to assemble them into a cohesive road map that can be then adapted to the reader's problem of choice.