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- W4386794789 abstract "In this paper, we carry out the analysis of the semismooth Newton method for bilinear control problems related to semilinear elliptic PDEs. We prove existence, uniqueness and regularity for the solution of the state equation, as well as differentiability properties of the control to state mapping. Then, first and second order optimality conditions are obtained. Finally, we prove the superlinear convergence of the semismooth Newton method to local solutions satisfying no-gap second order sufficient optimality conditions as well as a strict complementarity condition." @default.
- W4386794789 created "2023-09-16" @default.
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- W4386794789 date "2023-09-14" @default.
- W4386794789 modified "2023-09-30" @default.
- W4386794789 title "Bilinear control of semilinear elliptic PDEs: Convergence of a semismooth Newton method" @default.
- W4386794789 doi "https://doi.org/10.48550/arxiv.2309.07554" @default.
- W4386794789 hasPublicationYear "2023" @default.
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