Convergence analysis of a variational quasi-reversibility approach for an inverse hyperbolic heat conduction problem
From MaRDI portal
Publication:2122161
DOI10.1515/jiip-2020-0023OpenAlexW3079873079MaRDI QIDQ2122161
Publication date: 6 April 2022
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.08573
energy estimateshyperbolic equationbackward heat conduction problemquasi-reversibility methodCarleman weightHölder convergence
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Inverse problems for the heat equation with memory
- Stability results for the heat equation backward in time
- Regularization of a backwards parabolic equation by fractional operators
- Carleman estimates for the regularization of ill-posed Cauchy problems
- Recovering the initial distribution for strongly damped wave equation
- Epidemic Genetic Algorithm for Solving Inverse Problems: Parallel Algorithms
- Definitions and examples of inverse and ill-posed problems
- Carleman estimates for parabolic equations and applications
- The Approximation of Certain Parabolic Equations Backward in Time by Sobolev Equations
- Digital Removal of Random Media Image Degradations by Solving the Diffusion Equation Backwards in Time
- Approximation of a parabolic non-linear evolution equation backwards in time
- Backward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz source
- On the strongly damped wave equation with constraint
- Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements
- A note on the derivation of filter regularization operators for nonlinear evolution equations
- Note on a regularization of a parabolic nonlinear evolution equation backwards in time
- Convergent numerical methods for parabolic equations with reversed time via a new Carleman estimate
- On the backward problem for parabolic equations with memory
- Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system
- Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction
- Chapter 1: Introduction to data assimilation and inverse problems
- Pseudoparabolic Partial Differential Equations
This page was built for publication: Convergence analysis of a variational quasi-reversibility approach for an inverse hyperbolic heat conduction problem