Identification of Parameters through the Approximate Periodic Solutions of a Parabolic System
Ling Lei
Abstract
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.
Create a lesson
Related papers
Reformulation Techniques for PDLP with Applications to QUBO and Joint Replenishment
Jacob Dentes, Haihao Lu
Variance Reduction Note 4: The Convergence of SVRG
Alina Lodhi
Two-Player Zero-Sum Hybrid Games with Set-Valued Dynamics
Santiago J. Leudo, Francesco Ferrante, Ricardo G. Sanfelice
Distributionally Robust Dynamic Inventory Control: Automatic Recovery under Martingale Demand
Jianzhi Leng, Daniel Zhuoyu Long, Lun Ran et al.
A constraint dissolving method for generally constrained optimization over a nonconvex set
Pengjie Liu, Haonan Shen, Xiaoxi Jia
Asymptotic Optimality of cμ-Rule for LLM Inference Scheduling under Memory Constraint
Zhenghao Li, Shengbo Wang, Nian Si