Quantitative uniqueness estimates for the generalized non-stationary Stokes system*

Ching Lung Lin, Jenn Nan Wang

研究成果: Article同行評審

摘要

We study the local behavior of a solution to a generalized non-stationary Stokes system with singular coefficients in (Formula presented.) with (Formula presented.). One of our main results is a bound on the vanishing order of a non-trivial solution u satisfying the generalized non-stationary Stokes system, which is a quantitative version of the (strong) unique continuation property for u. Different from the previously known results, our unique continuation result only involves the velocity field u. Our proof relies on some delicate Carleman-type estimates. We first use these estimates to derive crucial optimal three-cylinder inequalities for u.

原文English
期刊Applicable Analysis
DOIs
出版狀態Accepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • 分析
  • 應用數學

指紋

深入研究「Quantitative uniqueness estimates for the generalized non-stationary Stokes system<sup>*</sup>」主題。共同形成了獨特的指紋。

引用此