Cover Image

Control in the coefficients of an elliptic differential operator: topological derivatives and Pontryagin maximum principle

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Wachsmuth, Daniel
Format:	Preprint
Published:	2024
Subjects:	Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A numerical solution approach for non-smooth optimal control problems based on the Pontryagin maximum principle
by: Wachsmuth, Daniel
Published: (2024)

A topological derivative-based algorithm to solve optimal control problems with $L^0(Ω)$ control cost
by: Wachsmuth, Daniel
Published: (2022)

Continuous differentiability of the signum function and Newton's method for bang-bang control
by: Wachsmuth, Daniel, et al.
Published: (2025)

The Pontryagin maximum principle and $Q$-functions in rough environments
by: Ashkarian, Estepan, et al.
Published: (2026)

A stochastic Pontryagin maximum principle on the Sierpinski gasket
by: Liu, Xuan
Published: (2017)

Second-order conditions for bang-bang control of elliptic equations in arbitrary dimensions
by: Wachsmuth, Gerd
Published: (2026)

Pontryagin-type maximum principle for a controlled sweeping process with nonsmooth and unbounded sweeping set
by: Nour, Chadi, et al.
Published: (2023)

A globalized inexact semismooth Newton method for strongly convex optimal control problems
by: Wachsmuth, Daniel
Published: (2025)

Minimal and maximal solution maps of elliptic QVIs of obstacle type: Lipschitz stability, differentiability and optimal control
by: Alphonse, Amal, et al.
Published: (2023)

Proximal gradient methods in Banach spaces
by: Wachsmuth, Gerd, et al.
Published: (2025)

A convex, finite and lower semicontinuous function with empty subdifferential
by: Wachsmuth, Gerd
Published: (2024)

New numerical solutions to Newton's problem of least resistance via a convex hull approach
by: Wachsmuth, Gerd
Published: (2025)

Pseudo-concave optimization of the first eigenvalue of elliptic operators with application to topology optimization by homogenization
by: Nishioka, Akatsuki
Published: (2025)

Second-order conditions for spatio-temporally sparse optimal control via second subderivatives
by: Borchard, Nicolas, et al.
Published: (2023)

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map
by: Meyer, Christian, et al.
Published: (2025)

Optimal Control of H-Mode Tokamak Plasma Temperature based on Pontryagin's Principle
by: Jmal, Slim, et al.
Published: (2025)

Stability and genericity of bang-bang controls in affine problems
by: Corella, Alberto Domínguez, et al.
Published: (2023)

The maximum principle for discrete-time control systems and applications to dynamic games
by: Corella, Alberto Domínguez, et al.
Published: (2026)

Relationship between maximum principle and dynamic programming principle for recursive optimal control problem of stochastic evolution equations
by: Hu, Ying, et al.
Published: (2025)

No-gap second-order optimality conditions for additive manufacturing
by: Hmede, Hiba, et al.
Published: (2024)

Second-order maximum principle controlled weakly singular Volterra integral equations
by: Gasimov, Jasarat J., et al.
Published: (2024)

An infinite horizon sufficient stochastic maximum principle for regime switching diffusions and applications
by: Ding, Kai, et al.
Published: (2025)

A Pontryagin Perspective on Reinforcement Learning
by: Eberhard, Onno, et al.
Published: (2024)

Optimal control of quantum stochastic systems in fermion fields: The Pontryagin-type maximum principle (II)
by: Wang, Penghui, et al.
Published: (2024)

Subdifferentials and penalty approximations of the obstacle problem
by: Alphonse, Amal, et al.
Published: (2024)

Stochastic maximum principle for weighted mean-field system with jump
by: Tang, Yanyan, et al.
Published: (2024)

Poisson Hamiltonian Pontryagin Dynamics and Optimal Control of Mechanical Systems on Lie Groupoids
by: Haghighatdoost, Ghorbanali
Published: (2026)

Digital Twins: McKean-Pontryagin Control for Partially Observed Physical Twins
by: Opper, Manfred, et al.
Published: (2025)

Optimal control of quantum system in fermion fields: Pontryagin-type maximum principle(I)
by: Wang, Penghui, et al.
Published: (2024)

Robust mean field control: stochastic maximum principle and variational mean field games
by: Delarue, François, et al.
Published: (2026)

A global stochastic maximum principle for delayed forward-backward stochastic control systems
by: Li, Feng
Published: (2026)

A stochastic maximum principle of mean-field type with monotonicity conditions
by: He, Bowen, et al.
Published: (2025)

Anticipated backward stochastic evolution equations and maximum principle for path-dependent systems in infinite dimensions
by: Liu, Guomin, et al.
Published: (2025)

Rough Stochastic Pontryagin Maximum Principle and an Indirect Shooting Method
by: Lew, Thomas
Published: (2025)

Spatially sparse optimization problems in fractional order Sobolev spaces
by: Lentz, Anna, et al.
Published: (2024)

The Largest-$K$-Norm for General Measure Spaces and a DC Reformulation for $L^0$-Constrained Problems in Function Spaces
by: Dittrich, Bastian, et al.
Published: (2024)

Stochastic maximum principle for optimal control problem with varying terminal time and non-convex control domain
by: Shi, Jin, et al.
Published: (2024)

Pontryagin-Guided Policy Optimization for Merton's Portfolio Problem
by: Huh, Jeonggyu, et al.
Published: (2024)

A level set topology optimization theory based on Hamilton's principle
by: Oellerich, Jan, et al.
Published: (2025)

Slater conditions without interior points for programs in Lebesgue spaces with pointwise bounds and finitely many constraints
by: Wachsmuth, Gerd
Published: (2022)