Optimal Control of Nonlinear Elliptic Problems with Sparsity

DOI10.1137/17M1161555zbMath1401.49005arXiv1712.06159OpenAlexW2780912423MaRDI QIDQ4577229

Nicolas Wilmet, Augusto C. Ponce

Publication date: 17 July 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06159

zbMATH Keywords

optimal controlsemilinear elliptic equationssparsitymeasure controlsreduced limit

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonsmooth analysis (49J52) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

A diagonal finite element-projection-proximal gradient algorithm for elliptic optimal control problem ⋮ Sparse optimal control of a quasilinear elliptic PDE in measure spaces

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