Convergence of a spectral regularization of a time-reversed reaction-diffusion problem with high-order Sobolev-Gevrey smoothness
DOI10.1016/J.JMAA.2022.126666OpenAlexW3196903875MaRDI QIDQ2084860
Publication date: 13 October 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.02870
error estimatesiterationsspectral regularizationvariational source conditioninverse reaction-diffusion problemSobolev-Gevrey smoothness
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx) Parabolic equations and parabolic systems (35Kxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems
- An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems
- Iterative regularization methods for nonlinear ill-posed problems
- An approximate solution for nonlinear backward parabolic equations
- Convergence rates of Tikhonov regularization for recovering growth rates in a Lotka-Volterra competition model with diffusion
- On an inverse boundary value problem of a nonlinear elliptic equation in three dimensions
- Convergence Rates for Exponentially Ill-Posed Inverse Problems with Impulsive Noise
- Theory and examples of variational regularization with non-metric fitting functionals
- Generalized Bregman distances and convergence rates for non-convex regularization methods
- Sharp converse results for the regularization error using distance functions
- Editorial board
- Backward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz source
- Variational source condition for ill-posed backward nonlinear Maxwell’s equations
- Tikhonov regularization in Hilbert scales under conditional stability assumptions
- Variational Source Conditions in $L^p$-spaces
- Convergence analysis of (statistical) inverse problems under conditional stability estimates
- Optimal Convergence Rates for Tikhonov Regularization in Besov Spaces
- Convergence Rates for Inverse Problems with Impulsive Noise
- Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction
- A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
- Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods
- Verification of a variational source condition for acoustic inverse medium scattering problems
This page was built for publication: Convergence of a spectral regularization of a time-reversed reaction-diffusion problem with high-order Sobolev-Gevrey smoothness