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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 268–285
(Mi znsl273)
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The heat equation on matrix space
S. P. Khekalo St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
The analog of the heat equation on space of real matrixes was studied. On the
basis of properties of the heat source the solution of the heat equation with
initial radiation which defined in vertex of the cone of positive definite
symmetrical matrixes was constructed. The correlations between the Riesz
potentials associated with composite power functions on matrix space and
solutions of the heat equation were found.
Received: 18.04.2006
Citation:
S. P. Khekalo, “The heat equation on matrix space”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 268–285; J. Math. Sci. (N. Y.), 142:6 (2007), 2671–2681
Linking options:
https://www.mathnet.ru/eng/znsl273 https://www.mathnet.ru/eng/znsl/v332/p268
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Abstract page: | 261 | Full-text PDF : | 117 | References: | 37 |
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