Identifying the Unknown Source in Linear Parabolic Equation by a Convoluting Equation Method

Identifying the Unknown Source in Linear Parabolic Equation by a Convoluting Equation Method

This article is devoted to identifying a space-dependent source term in linear parabolic equations. Such a problem is ill posed, i.e., a small perturbation in the input data may cause a dramatically large error in the solution (if it exists). The conditional stability of the solution is analyzed. Ba...

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Bibliographic Details
Main Authors: Zhenping Li, Xiangtuan Xiong, Qiang Cheng
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Mathematics
Subjects:
inverse source problem
ill posedness
regularization
parameter choice strategy
convergence analysis
Online Access:https://www.mdpi.com/2227-7390/10/13/2191

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