Modified Sobolev Spaces in Controllability Problems for the Wave Equation on a Half-Plane

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2015
• ISSN: 1812-9471
• Main Author: Fardigola, L.V.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/117982
• 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.

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...