Existence result and approximation of an optimal control problem for the Perona-Malik equation
From MaRDI portal
Publication:6601233
DOI10.1007/s11587-022-00730-4zbMATH Open1547.49034MaRDI QIDQ6601233
P. Kogut, Yaroslav Kohut, Rosanna Manzo
Publication date: 10 September 2024
Published in: Ricerche di Matematica (Search for Journal in Brave)
optimal control problemPerona-Malik equationcontrol in coefficientsfictitious controlapproximation approach
Control/observation systems governed by partial differential equations (93C20) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Nonlinear evolution equations (47J35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some class of parabolic systems applied to image processing
- On vector-valued approximation of state constrained optimal control problems for nonlinear hyperbolic conservation laws
- Optimal control problems for partial differential equations on reticulated domains. Approximation and asymptotic analysis
- Optimal \(L^2\)-control problem in coefficients for a linear elliptic equation. I: Existence result
- Suboptimal boundary controls for elliptic equation in critically perforated domain
- Compact sets in the space \(L^ p(0,T;B)\)
- Analysis of adaptive forward-backward diffusion flows with applications in image processing
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
- Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
- IRREVERSIBILITY AND HYSTERESIS FOR A FORWARD–BACKWARD DIFFUSION EQUATION
- An Indirect Approach to the Existence of Quasi-optimal Controls in Coefficients for Multi-dimensional Thermistor Problem
- Asymptotic analysis of an optimal boundary control problem for ill-posed elliptic equation in domains with rugous boundary
- On \(S\)-homogenization of an optimal control problem with control and state constraints
This page was built for publication: Existence result and approximation of an optimal control problem for the Perona-Malik equation