Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Determination of discontinuous diffusion coefficients for the heat equation on a tree-shaped network

Emmanuelle Crépeau, Lionel Rosier and Julie Valein
Inverse Problems 41 (7) 075001 (2025)
https://doi.org/10.1088/1361-6420/ade3f9

A parabolic multiscale inverse problem approached via homogenization: A numerical method

Vicente Ocqueteau, Raúl Gormaz, Jorge San Martín and Carlos Conca
Journal of Mathematical Analysis and Applications 544 (2) 129073 (2025)
https://doi.org/10.1016/j.jmaa.2024.129073

Stability and regularization for ill-posed Cauchy problem of a stochastic parabolic differential equation

Fangfang Dou, Peimin Lü and Yu Wang
Inverse Problems 40 (11) 115005 (2024)
https://doi.org/10.1088/1361-6420/ad7f80

Simultaneously identifying piecewise smooth conductivity and initial value for a heat conduction equation

Shuli Chen, Gen Nakamura and Haibing Wang
Inverse Problems and Imaging (2024)
https://doi.org/10.3934/ipi.2024029

Local logarithmic stability of an inverse coefficient problem for a singular heat equation with an inverse-square potential

Xue Qin and Shumin Li
Applicable Analysis 102 (7) 1995 (2023)
https://doi.org/10.1080/00036811.2021.2011246

Boundary null controllability for the heat equation with dynamic boundary conditions

Salah-Eddine Chorfi, Ghita El Guermai, Abdelaziz Khoutaibi and Lahcen Maniar
Evolution Equations and Control Theory 12 (2) 542 (2023)
https://doi.org/10.3934/eect.2022041

The problem of determining multiple coefficients in an ultrahyperbolic equation

Fikret Gölgeleyen
Journal of Inverse and Ill-posed Problems 31 (6) 937 (2023)
https://doi.org/10.1515/jiip-2022-0091

Identification of Matrix Diffusion Coefficient in a Parabolic PDE

Subhankar Mondal and M. Thamban Nair
Computational Methods in Applied Mathematics 22 (2) 413 (2022)
https://doi.org/10.1515/cmam-2021-0061

Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part I: Carleman estimates

Shumin Li and Yunxia Shang
Journal of Inverse and Ill-posed Problems 30 (5) 621 (2022)
https://doi.org/10.1515/jiip-2020-0045

A stability result for the diffusion coefficient of the heat operator defined on an unbounded guide

Laure Cardoulis, Michel Cristofol and Morgan Morancey
Mathematical Control & Related Fields 11 (4) 965 (2021)
https://doi.org/10.3934/mcrf.2020054

Lipschitz stability in determination of coefficients in a two-dimensional Boussinesq system by arbitrary boundary observation

Mourad Bellassoued and Chaima Moufid
Discrete & Continuous Dynamical Systems - S 14 (8) 2671 (2021)
https://doi.org/10.3934/dcdss.2020394

Monotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and Stability

Bastian Harrach and Yi-Hsuan Lin
SIAM Journal on Mathematical Analysis 52 (1) 402 (2020)
https://doi.org/10.1137/19M1251576

Inverse Problems and Related Topics

Oleg Yu. Imanuvilov and Masahiro Yamamoto
Springer Proceedings in Mathematics & Statistics, Inverse Problems and Related Topics 310 101 (2020)
https://doi.org/10.1007/978-981-15-1592-7_6

Logarithmic stability of an inverse problem for Biot’s consolidation system in poro-elasticity

Wensheng Zhang and Zifan Jiang
Journal of Physics Communications 3 (11) 115022 (2019)
https://doi.org/10.1088/2399-6528/ab596d

Unique continuation for a reaction-diffusion system with cross diffusion

Bin Wu, Ying Gao, Zewen Wang and Qun Chen
Journal of Inverse and Ill-posed Problems 27 (4) 511 (2019)
https://doi.org/10.1515/jiip-2017-0094

Global Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission Problem

Bastian Harrach and Houcine Meftahi
SIAM Journal on Applied Mathematics 79 (2) 525 (2019)
https://doi.org/10.1137/18M1205388

Carleman estimate for a linearized bidomain model in electrocardiology and its applications

Bin Wu, Lin Yan, Ying Gao and Qun Chen
Nonlinear Differential Equations and Applications NoDEA 25 (1) (2018)
https://doi.org/10.1007/s00030-018-0496-8

Quadratic convergence of Levenberg-Marquardt method for elliptic and parabolic inverse robin problems

Daijun Jiang, Hui Feng and Jun Zou
ESAIM: Mathematical Modelling and Numerical Analysis 52 (3) 1085 (2018)
https://doi.org/10.1051/m2an/2018016

On the identification of multiple space dependent ionic parameters in cardiac electrophysiology modelling

Yassine Abidi, Mourad Bellassoued, Moncef Mahjoub and Nejib Zemzemi
Inverse Problems 34 (3) 035005 (2018)
https://doi.org/10.1088/1361-6420/aaa72e

Hölder stability of an inverse problem for a strongly coupled reaction-diffusion system

Bin Wu and Jun Yu
IMA Journal of Applied Mathematics hxw058 (2017)
https://doi.org/10.1093/imamat/hxw058

Stability result for two coefficients in a coupled hyperbolic-parabolic system

Patricia Gaitan and Hadjer Ouzzane
Journal of Inverse and Ill-posed Problems 25 (3) 265 (2017)
https://doi.org/10.1515/jiip-2015-0017

An inverse problem for Maxwell's equations in a uniaxially anisotropic medium

Yunxia Shang, Lixia Zhao, Shumin Li and Wuqing Ning
Journal of Mathematical Analysis and Applications 456 (2) 1415 (2017)
https://doi.org/10.1016/j.jmaa.2017.06.053

Stability for Some Inverse Problems for Transport Equations

Fikret Gölgeleyen and Masahiro Yamamoto
SIAM Journal on Mathematical Analysis 48 (4) 2319 (2016)
https://doi.org/10.1137/15M1038128

Stability of conductivities in an inverse problem in the reaction-diffusion system in electrocardiology

Yuan He, Mostafa Bendahmane and Bedr'Eddine Ainseba
Networks and Heterogeneous Media 10 (2) 369 (2015)
https://doi.org/10.3934/nhm.2015.10.369

Uniqueness and stability of an inverse kernel problem for type III thermoelasticity

Bin Wu, Jun Yu and Zewen Wang
Journal of Mathematical Analysis and Applications 402 (1) 242 (2013)
https://doi.org/10.1016/j.jmaa.2013.01.023

Lipschitz stability in an inverse problem for the main coefficient of a Kuramoto–Sivashinsky type equation

Patricio Guzmán Meléndez
Journal of Mathematical Analysis and Applications 408 (1) 275 (2013)
https://doi.org/10.1016/j.jmaa.2013.05.050

Uniqueness and stability of an inverse problem for a phase field model using data from one component

Bin Wu, Qun Chen and Zewen Wang
Computers & Mathematics with Applications 66 (10) 2126 (2013)
https://doi.org/10.1016/j.camwa.2013.09.005

Carleman estimate for a strongly damped wave equation and applications to an inverse problem

Bin Wu
Mathematical Methods in the Applied Sciences 35 (4) 427 (2012)
https://doi.org/10.1002/mma.1570