Qualitative Analysis of an Optimal Sparse Control Problem for Quasi-Linear Parabolic Equation with Variable Order of Nonlinearity

Qualitative Analysis of an Optimal Sparse Control Problem for Quasi-Linear Parabolic Equation with Variable Order of Nonlinearity

In this work, we study a sparse optimal control problem involving a quasilinear parabolic equation with variable order of nonlinearity as a state equation and with a pointwise control constraints. We show that in the case if the cost functional contains the terminal term of the tracking type, the pr...

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Bibliographic Details
Main Authors: Ciro D’Apice, Peter Kogut, Rosanna Manzo
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2023-12-01
Series:Journal of Optimization, Differential Equations and Their Applications
Subjects:
weak solution
parabolic equation
variable order of nonlinearity
noncoercive problem
compensated compactness technique
Online Access:https://model-dnu.dp.ua/index.php/SM/article/view/192

Internet

https://model-dnu.dp.ua/index.php/SM/article/view/192

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