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- W2892024477 abstract "In this paper, we consider optimal control problems associated with a class of quasilinear parabolic equations, where the coefficients of the elliptic part of the operator depend on the state function. We prove existence, uniqueness and regularity for the solution of the state equation. Then, we analyze the control problem. The goal is to get first and second order optimality conditions. To this aim we prove the necessary differentiability properties of the relation control-to-state and of the cost functional." @default.
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- W2892024477 date "2018-01-01" @default.
- W2892024477 modified "2023-10-12" @default.
- W2892024477 title "Analysis and optimal control of some quasilinear parabolic equations" @default.
- W2892024477 doi "https://doi.org/10.3934/mcrf.2018025" @default.
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