利用抛物型方程组的近似周期解识别参数
Identification of Parameters through the Approximate Periodic Solutions of a Parabolic System
摘要：
本文研究抛物型偏微分方程中扰动项或误差项的近似周期解的识别问题。观测是在物理域的一个分区上进行的。本文第一部分研究了近似周期解的存在唯一性问题。本文的第二部分给出了识别问题的解决方案。要使用的主要成分包括经典的Garlerkin方法和最近开发的Carleman估计的抛物型系统。
英文摘要：
This work is concerned with the identification problem for what we call the perturbation term or error term in a parabolic partial differential equation, through its approximate periodic solutions. The observation is made over a subregion of the physical domain. The existence and uniqueness problem of the approximate periodic solutions is studied in the first part of the paper. A solution to the identification problem is given in the second part of the paper. The main ingredients to be used include the classical Garlerkin method and the more recently developed Carleman estimates for a parabolic system.
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。
