Time-dependent deformations of powers of the wave operator
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Conditions under which the linear differential operators of the second order are equivalent to operators not containing “friction” (first partial derivatives) are investigated. One can construct iso-Huygens deformations for powers of the wave operator with time-dependent coefficients. The fundamental solutions of these deformations and conditions under which the Huygens principle holds are found. Bibliography: 17 titles.
KeywordsHuygens Fundamental Solution Scalar Curvature Wave Operator Adjoint Action
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- 8.V. I. Semyanistyi, “Some problems of integral geometry in pseudo-Euclidean and non-Euclidean spaces, ” MGU, Trudy Semin. Vekt. Tenz. Anal., 13, 244–302 (1963).Google Scholar
- 9.B. Rubin, “Zeta integrals and integral geometry in the space of rectangular matrices,” Preprint, The Hebrew University, Jerusalem (2004).Google Scholar
- 10.I. M. Gel’fand, S. G. Gindikin, and M. I. Graev, Selected Problems in Integral Geometry [in Russian], Dobrosvet, Moscow (2000).Google Scholar
- 11.N. Kh. Ibragimov, Groups of Transformations in Mathematical Physics [in Russian], Fizmatgiz, Moscow (1983).Google Scholar
- 13.V. A. Zorich, Mathematical Analysis [in Russian], Vol. 2, Nauka, Moscow (1984).Google Scholar
- 14.I. M. Gel’fand and G. E. Shilov, Generalized Functions [in Russian], Vol. 1, Fizmatgiz, Moscow (1985).Google Scholar
- 15.J. F. Treves, Lectures on Linear Equations in Partial Derivatives with Constant Coefficients [Russian translation], Mir, Moscow (1965).Google Scholar
- 16.S. P. Khekalo, “Gauge related deformations of ordinary linear differential equations with constant coefficients,” Zap. Nauchn. Semin. POMI, 308, 235–251 (2004).Google Scholar