Email this article Local Boundary Controllability in Classes of Differentiable Functions for the Wave Equation
- Authors: Belishev M.I.1
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Affiliations:
- St.Petersburg Department of the Steklov Mathematical Institute, RAS, St.Petersburg State University
- Issue: Vol 238, No 5 (2019)
- Pages: 591-600
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242567
- DOI: https://doi.org/10.1007/s10958-019-04259-0
- ID: 242567
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Abstract
The well-known fact following from the Holmgren-John-Tataru uniqueness theorem is a local approximate boundary L2-controllability of the dynamical system governed by the wave equation. Generalizing this result, we establish the controllability in certain classes of differentiable functions in the domains filled up with waves.
About the authors
M. I. Belishev
St.Petersburg Department of the Steklov Mathematical Institute, RAS, St.Petersburg State University
Author for correspondence.
Email: belishev@pdmi.ras.ru
Russian Federation, St.Petersburg
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