On the identification of a nonlinear term in a reaction–diffusion equation
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Publication:5236702
DOI10.1088/1361-6420/AB2AABzbMath1427.35359arXiv1905.12067OpenAlexW2947730536MaRDI QIDQ5236702
Barbara Kaltenbacher, William Rundell
Publication date: 10 October 2019
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.12067
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- Regularization methods in Banach spaces.
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Iterative regularization methods for nonlinear ill-posed problems
- Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation
- Harmonic analysis and boundary value problems in the complex domain
- On Mittag-Leffler-type functions in fractional evolution processes
- Mathematical biology. Vol. 1: An introduction.
- Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space
- Regularization of a backwards parabolic equation by fractional operators
- The problem of the convergence of the iteratively regularized Gauss- Newton method
- On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition
- On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems
- An Inverse problem for a nonlinear parabolic equation
- Fixed point methods for a nonlinear parabolic inverse coefficient problem
- Iteration schemes for unknown coefficient problems arising in parabolic equations
- Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem
- Spatial Ecology via Reaction‐Diffusion Equations
- Numerical Analysis of Nonlinear Subdiffusion Equations
- A tutorial on inverse problems for anomalous diffusion processes
- A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
- On an inverse potential problem for a fractional reaction–diffusion equation
- Galerkin Finite Element Methods for Parabolic Problems
- Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
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