An inverse radiative coefficient problem arising in a two-dimensional heat conduction equation with a homogeneous Dirichlet boundary condition in a circular section
type: Item
instance of: scholarly article
title: An inverse radiative coefficient problem arising in a two-dimensional heat conduction equation with a homogeneous Dirichlet boundary condition in a circular section
zbMATH Open document ID: 1330.35543
author: Liu Yang
author: Zui-Cha Deng
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-11-18T00:00:00Z
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 6511596
zbMATH Keywords: convergence
zbMATH Keywords: nonlinear inverse coefficient problem
zbMATH Keywords: optimal control
zbMATH Keywords: radiative coefficient
zbMATH Keywords: singularity
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: j.jmaa.2015.10.043
OpenAlex ID: W1808491407
cites work: Q4073917
cites work: Q3682852
cites work: Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations
cites work: An inverse problem of finding a parameter in a semi-linear heat equation
cites work: Solving an inverse parabolic problem by optimization from final measurement data
cites work: Generic well-posedness of an inverse parabolic problem - the Hölder-space approach
cites work: An inverse parabolic problem with non-zero initial condition
cites work: Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
cites work: Identification of the unknown diffusion coefficient in a linear parabolic equation by the semigroup approach
cites work: An optimal control method for nonlinear inverse diffusion coefficient problem
cites work: Optimization method for an evolutional type inverse heat conduction problem
cites work: Identifying the radiative coefficient of an evolutional type heat conduction equation by optimization method
cites work: Q4895893
cites work: A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
cites work: Q4399897
cites work: Inverse parabolic problems with the final overdetermination
cites work: Inverse problems for partial differential equations
cites work: Convergence rates of Tikhonov regularizations for parameter identification in a parabolic-elliptic system
cites work: Determination of a spacewise dependent heat source
cites work: A variational method for identifying a spacewise-dependent heat source
cites work: A procedure for determining a spacewise dependent heat source and the initial temperature
cites work: An Inverse Problem for a Nonlinear Parabolic Equation with Applications in Population Dynamics and Magnetics
cites work: Numerical identifications of parameters in parabolic systems
cites work: Q5562267
cites work: The Determination of a Parabolic Equation from Initial and Final Data
cites work: Space-dependent perfusion coefficient identification in the transient bio-heat equation
cites work: Simultaneous reconstruction of the initial temperature and heat radiative coefficient
cites work: Optimization method for the inverse problem of reconstructing the source term in a parabolic equation
cites work: An inverse problem of identifying the coefficient of parabolic equation
DOI: 10.1016/J.JMAA.2015.10.043
description: scientific article; zbMATH DE number 6511596