Approximate controllability of the wave equation with mixed boundary conditions

• Published in: Український математичний вісник
• Date: 2018
• Main Authors: Pestov, L., Strelnikov, D.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169401
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Approximate controllability of the wave equation with mixed boundary conditions / L. Pestov, D. Strelnikov // Український математичний вісник. — 2018. — Т. 15, № 2. — С. 251-263. — Бібліогр.: 14 назв. — англ.

We consider initial boundary-value problem for acoustic equation in the time space cylinder Ω×(0, 2T) with unknown variable speed of sound, zero initial data, and mixed boundary conditions. We assume that (Neumann) controls are located at some part Σ × [0, T], Σ ⊂ ∂Ω of the lateral surface of the cy...