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

1 引文 斯高帕斯(Scopus)

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
頁(從 - 到)3591-3611
頁數21
期刊Applicable Analysis
101
發行號10
DOIs
出版狀態Published - 2022

All Science Journal Classification (ASJC) codes

  • 分析
  • 應用數學

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