journal article
Apr 01, 1997
An inverse problem for the Hamilton-Jacobi equation on a closed manifold
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References
8
[1]
V. P. Golubyatnikov, “Inverse problem for the Hamilton-Jacobi equation,” J. Inverse Ill-Posed Probl.,3, No. 5, 407–410 (1995).
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V. I. Arnol'd, Mathematical Methods of Classical Mechanics, Springer, New York, Heidelberg, and Berlin (1978).
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A. T. Fomenko, Symplectic Geometry. Methods and Applications [in Russian], Moskow Univ., Moscow (1988).
[4]
R. Bott, “Nondegenerate critical manifolds,” Ann. of Math. (2),60, No. 2, 248–261 (1954).
10.2307/1969631
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D. Montgomery, H. Samelson, and L. Zippin, “Singular points of a compact transformation group,” Ann. Math.,63, No. 1, 1–9 (1956).
10.2307/1969986
[6]
V. Guillemin and S. Sternberg, “Convexity properties of the moment map,” Invent. Math.67, No. 3, 491–513 (1982).
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[7]
V. P. Golubyatnikov, “Some cohomotopy properties of the Thom spaces,” Siberian Math. J.,27, No. 2, 202–205 (1986).
[8]
A. S. Mishchenko and A. T. Fomenko, “Integration of Hamiltonian systems with noncommuting symmetries,” in: Proceedings of the Seminar on Vector and Tensor Analysis [in Russian], Moscow Univ., Moscow, 1981,20, pp. 5–54.
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Details
- Published
- Apr 01, 1997
- Vol/Issue
- 38(2)
- Pages
- 235-238
- License
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Cite This Article
V. P. Golubyatnikov (1997). An inverse problem for the Hamilton-Jacobi equation on a closed manifold. Siberian Mathematical Journal, 38(2), 235-238. https://doi.org/10.1007/bf02674621
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