Modified Sobolev Spaces in Controllability Problems for the Wave Equation on a Half-Plane
The 2-d wave equation wtt = Δw, t belongs (0, T), on the half-plane x1 > 0 controlled by the Neumann boundary condition wx1(0, x2, t) = δ(x2)u(t) is considered in Sobolev spaces, where T > 0 is a constant and u L∞(0, T) is a control. This control system is transformed into a control system f...
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| Date: | 2015 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/117982 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Modified Sobolev Spaces in Controllability Problems for the Wave Equation on a Half-Plane / L.V. Fardigola // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 1. — С. 18-44— Бібліогр.: 19 назв. — англ. |