Paper Citation Record · LEDGER

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map

As of 19 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2506.02808.

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pith.paper-citation-record.v1
2506.02808 v1

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measured 43 of 43 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

43 of 43 outbound references displayed

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Outbound references

Observation ff6f1e06-08a2-4cf5-8c32-96c3d9e67323 · outbound

This paper cites Armitage and Stephen J.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Armitage and Stephen J

Reference 1

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This paper cites Birkh¨ auser Boston, 2009.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Birkh¨ auser Boston, 2009

Reference 2

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This paper cites Fr´ ed´ eric Bonnans and Alexander Shapiro.Perturbation Analysis of Opti- mization Problems.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Fr´ ed´ eric Bonnans and Alexander Shapiro.Perturbation Analysis of Opti- mization Problems

Reference 3

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This paper cites Necessary optimality conditions for optimal control problems in Wasserstein spaces.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Necessary optimality conditions for optimal control problems in Wasserstein spaces

Reference 4

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This paper cites Numerical solution of optimal control problems using quadratic transport regularization.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Numerical solution of optimal control problems using quadratic transport regularization

Reference 5

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This paper cites An optimal transport approach for solv- ing dynamic inverse problems in spaces of measures.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map An optimal transport approach for solv- ing dynamic inverse problems in spaces of measures

Reference 6

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Inverse problems in spaces of measures

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This paper cites Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms

Reference 8

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This paper cites Parabolic control prob- lems in measure spaces with sparse solutions.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Parabolic control prob- lems in measure spaces with sparse solutions

Reference 9

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This paper cites Optimal control of semilinear elliptic equations in measure spaces.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Optimal control of semilinear elliptic equations in measure spaces

Reference 10

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This paper cites Optimal control of the two-dimensional stationary Navier-Stokes equations with measure valued controls.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Optimal control of the two-dimensional stationary Navier-Stokes equations with measure valued controls

Reference 11

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Parabolic control problems in space-time measure spaces

Reference 12

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This paper cites Using sparse control methods to identify sources in linear diffusion-convection equations.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Using sparse control methods to identify sources in linear diffusion-convection equations

Reference 13

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This paper cites Sparse initial data iden- tification for parabolic PDE and its finite element approximations.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Sparse initial data iden- tification for parabolic PDE and its finite element approximations

Reference 14

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Spike controls for elliptic and parabolic PDEs

Reference 15

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This paper cites A duality-based approach to elliptic control problems in non-reflexive Banach spaces.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map A duality-based approach to elliptic control problems in non-reflexive Banach spaces

Reference 16

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map The coarea inequality

Reference 17

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Curvature measures

Reference 18

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Trudinger

Reference 19

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Elliptic Problems in Nonsmooth Domains

Reference 20

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Unresolved cited work

Reference 21

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map The inhomogeneous Dirichlet problem in Lipschitz domains

Reference 22

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map A Course in Functional Analysis and Measure Theory

Reference 23

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Measure valued direc- tional sparsity for parabolic optimal control problems

Reference 24

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Optimal control of the undamped linear wave equation with measure valued controls

Reference 25

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Numerical analy- sis of sparse initial data identification for parabolic problems

Reference 26

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Sets of finite perimeter and geometric variational problems: an introduction to Geometric Measure Theory

Reference 27

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map The area formula forW 1,n-mappings

Reference 28

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Complete characterization of functions which act, via superposition, on Sobolev spaces

Reference 29

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map A Bayesian model for dynamic mass reconstruction from PET listmode data

Reference 30

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map A Priori Error Analysis for Discretiza- tion of Sparse Elliptic Optimal Control Problems in Measure Space

Reference 31

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Linear convergence of accelerated conditional gradient algorithms in spaces of measures

Reference 32

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Unresolved cited work

Reference 33

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Real and Complex Analysis

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Optimal Transport for Applied Mathematicians: Cal- culus of Variations, PDEs, and Modeling

Reference 35

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Elliptic optimal control problems with L1-control cost and applications for the placement of control devices

Reference 36

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Elliptic differential equations and obstacle prob- lems

Reference 37

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This paper cites On a finite element method for measure-valued optimal control problems governed by the 1D generalized wave equation.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map On a finite element method for measure-valued optimal control problems governed by the 1D generalized wave equation

Reference 38

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Optimal Transport

Reference 39

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map 36 REFERENCES

Reference 364

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Unresolved cited work

Reference 370

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Unresolved cited work

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Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map Unresolved cited work

Reference 2015

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Pith citing papers

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No-gap second-order conditions for optimization problems involving transport distances cites this paper.

No-gap second-order conditions for optimization problems involving transport distances Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map

Reference 21

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