Controllability issues for parabolic - elliptic systems involving nonlocal couplings

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Controllability issues for parabolic - elliptic systems involving nonlocal couplings

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Controllability issues for parabolic - elliptic systems involving nonlocal couplings

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Evolution Equations

ISSN

1424-3199

e-ISSN

1424-3202

Svazek periodika

25

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

50

Strana od-do

106

Kód UT WoS článku

001614454800001

EID výsledku v databázi Scopus

2-s2.0-105021828189