On regularization of an optimal control problem for ill-posed nonlinear elliptic equations
DOI10.1155/2020/7418707zbMath1474.49011OpenAlexW3098930352MaRDI QIDQ2657233
Olha P. Kupenko, Rosanna Manzo, Peter I. Kogut
Publication date: 12 March 2021
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/7418707
Inverse problems for PDEs (35R30) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On approximate solutions to the Neumann elliptic boundary value problem with non-linearity of exponential type
- On approximation of an optimal boundary control problem for linear elliptic equation with unbounded coefficients
- Non-existence and uniqueness results for supercritical semilinear elliptic equations
- Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
- Optimal control problems for partial differential equations on reticulated domains. Approximation and asymptotic analysis
- On Tikhonov regularization of optimal Neumann boundary control problem for an ill-posed strongly nonlinear elliptic equation with an exponential type of non-linearity.
- Classification of blow-up with nonlinear diffusion and localized reaction
- Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
- Tikhonov regularization of optimal control problems governed by semi-linear partial differential equations
- On optimal control problem for an ill-posed strongly nonlinear elliptic equation with \(p\)-Laplace operator and \(L^1\)-type of nonlinearity
- On Neumann boundary control problem for ill-posed strongly nonlinear elliptic equation with \(p\)-Laplace operator and \(L^1\)-type of nonlinearity
- Approximation of Optimal Control Problems in the Coefficient for the $p$-Laplace Equation. I. Convergence Result
- Optimization of Elliptic Systems
- Sur une classe de problemes non lineaires avec non linearite positive, croissante, convexe.
- Optimal control of an ill-posed elliptic semilinear equation with an exponential non linearity
- Optimal Control of Partial Differential Equations
- On Approximation of an Optimal Control Problem for Ill-Posed Strongly Nonlinear Elliptic Equation with p-Laplace Operator
This page was built for publication: On regularization of an optimal control problem for ill-posed nonlinear elliptic equations
