Optimal Control of Two-Phase Membrane Problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F25%3A00384047" target="_blank" >RIV/68407700:21230/25:00384047 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00245-025-10282-2" target="_blank" >https://doi.org/10.1007/s00245-025-10282-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00245-025-10282-2" target="_blank" >10.1007/s00245-025-10282-2</a>

Result language
angličtina
Original language name
Optimal Control of Two-Phase Membrane Problem
Original language description
We consider an optimal control problem where the state is governed by a free boundary problem called the two-phase membrane problem and the control appears in the coefficients of the state equation, influencing the positive and negative phases of the solution. Our investigation focuses on various properties associated with the control-to-state map. Due to the non-differentiability of this map, we regularize the state equation. The existence, uniqueness, and characterization of the optimal pairs are established.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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