On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs
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Publication:6151942
DOI10.1051/cocv/2023091arXiv2306.05185OpenAlexW4389952372MaRDI QIDQ6151942
Constantin Christof, Unnamed Author
Publication date: 11 March 2024
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.05185
Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) PDEs in connection with control and optimization (35Q93)
Cites Work
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- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices
- Optimal control of a non-smooth semilinear elliptic equation
- Identification of nonlinear elliptic equations
- Fréchet differentiability of the solution of the heat equation with respect to a nonlinear boundary condition
- Design of the monodomain model by artificial neural networks
- The zero set of a real analytic function
- Data driven governing equations approximation using deep neural networks
- Introduction to Nonlinear Optimization
- Discretization of Optimal Control Problems
- Identification of nonlinear heat transfer laws from boundary observations
- Variational Analysis in Sobolev andBVSpaces
- Composing Functions of Bounded Variation
- Weakly Differentiable Functions
- Identification of nonlinear heat transfer laws by optimal control
- A penalty method for the identification of nonlinear elliptic differential operator
- An Introduction to Variational Inequalities and Their Applications
- Stability estimates for the identification of nonlinear heat transfer laws
- Kurzweil–Stieltjes Integral
- No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation
- Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation
- Optimization with learning-informed differential equation constraints and its applications
- Identifying Processes Governing Damage Evolution in Quasi-Static Elasticity Part I -- Analysis
- Discretization of parameter identification in PDEs using neural networks
- The inverse problem of reconstructing reaction–diffusion systems
- An Inexact Bundle Algorithm for Nonconvex Nonsmooth Minimization in Hilbert Space
- Gradient-Based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Nonsmooth Lower Level
- Lipschitz and Hölder stable determination of nonlinear terms for elliptic equations
- Learning-informed parameter identification in nonlinear time-dependent PDEs