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SM ISO690:2012 LEFTER, Catalin-George, MELNIG, Elena-Alexandra. Internal controllability of parabolic systems with star and tree like couplings. In: Mathematics and IT: Research and Education, Ed. 2021, 1-3 iulie 2021, Chişinău. Chișinău, Republica Moldova: 2021, p. 51. |
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Mathematics and IT: Research and Education 2021 | ||||||
Conferința "Mathematics and IT: Research and Education " 2021, Chişinău, Moldova, 1-3 iulie 2021 | ||||||
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Pag. 51-51 | ||||||
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We consider systems of parabolic equations coupled in zero order terms in a star-like or a tree-like shape, with an internal control acting in only one of the equations. We obtain local exact controllability to the stationary solutions of the system under hypotheses concerning the supports of the coupling coefficients. The key point is establishing appropriate Carleman estimates for the adjoint to the linearized system. |
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