Controllability issues for parabolic - elliptic systems involving nonlocal couplings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00641928" target="_blank" >RIV/67985840:_____/25:00641928 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00028-025-01133-2" target="_blank" >https://doi.org/10.1007/s00028-025-01133-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00028-025-01133-2" target="_blank" >10.1007/s00028-025-01133-2</a>

Result language
angličtina
Original language name
Controllability issues for parabolic - elliptic systems involving nonlocal couplings
Original language description
This work addresses controllability properties for some systems of partial differential equations in which the main feature is the coupling through nonlocal integral terms. In the first part, we study a nonlinear parabolic-elliptic system arising in mathematical biology and, using recently developed techniques, we show how Carleman estimates can be directly used to handle the nonlocal terms, allowing us to implement well-known strategies for controlling coupled systems and nonlinear problems. In the second part, we investigate fine controllability properties of a simplified 1-d linear nonlocal coupled system using spectral analysis techniques. In those cases, we will see that the controllability of the concerned model can fail and it will depend on particular choices and combinations of local and nonlocal couplings.
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
10101 - Pure mathematics

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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