No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation

This paper deals with second-order optimality conditions for a quasilinear elliptic control problem with a nonlinear coefficient in the principal part that is finitely PC2 (continuous and C2 apart from finitely many points). We prove that the control-to-state operator is continuously differentiable...

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Bibliographic Details
Main Authors: Christian Clason, Vu Huu Nhu, Arnd Rösch
Format: Bài trích
Language:eng
Published: ESAIM: COCV 27 2021
Subjects:
Online Access:https://www.esaim-cocv.org/articles/cocv/abs/2021/02/cocv200066/cocv200066.html
https://dlib.phenikaa-uni.edu.vn/handle/PNK/2823
https://doi.org/10.1051/cocv/2020092
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