Regularization of a final value problem for a linear and nonlinear biharmonic equation with observed data in $ L^{q} $ space

Regularization of a final value problem for a linear and nonlinear biharmonic equation with observed data in $ L^{q} $ space

In this work, we focus on the final value problem of an inverse problem for both linear and nonlinear biharmonic equations. The aim of this study is to provide a regularized method for the bi-harmonic equation, once the observed data are obtained at a terminal time in $ L^{q}(\Omega) $. We obtain an...

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Bibliographic Details
Main Authors: Anh Tuan Nguyen, Le Dinh Long, Devendra Kumar, Van Thinh Nguyen
Format: Article
Language:English
Published: AIMS Press 2022-09-01
Series:AIMS Mathematics
Subjects:
biharmonic equations
fourier truncation method
inverse problem
regularization
sobolev embedding
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20221133?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20221133?viewType=HTML

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