Abstract
We consider the linear wave equation in a domain of the x, t-space bounded from above and below by some smooth surfaces and from the sides by a cylindrical surface with generator parallel to the t-axis. We study the Cauchy problem for this equation with data on a piece of the timelike cylindrical surface and establish a stability estimate for a solution to the problem.
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Original Russian Text Copyright © 2005 Romanov V. G.
The author was supported by the Russian Foundation for Basic Research (Grant 05-01-00171) and the Scientific Program “Universities of Russia” of the Ministry for Education of the Russian Federation (Grant 04.01.200).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 1152–1162, September– October, 2005.
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Romanov, V.G. A Stability Estimate for a Solution to the Wave Equation with the Cauchy Data on a Timelike Cylindrical Surface. Sib Math J 46, 925–934 (2005). https://doi.org/10.1007/s11202-005-0089-8
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DOI: https://doi.org/10.1007/s11202-005-0089-8