On controllability problems for the wave equation on a half-plane

Автор(и)

  • L. V. Fardigola Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine

Ключові слова:

wave equation, control problem

Анотація

Necessary and sufficient conditions for null-controllability and approximate null-controllability are obtained for the wave equation on a half-plane. Controls solving these problems are found explicitly. Moreover bang-bang controls solving the approximate null-controllability problem are constructed with the aid of the Markov power moment problem.

Mathematics Subject Classification: 93B05, 35B37, 35L05.

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Як цитувати

(1)
Fardigola, L. V. On controllability problems for the wave equation on a half-plane. Журн. мат. фіз. анал. геом. 2005, 1, 93-115.

Номер

Том 1 № 1 (2005)

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