Общая теория относительности - Хокинга В.
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relativity. In: Proceedings Enrico Fermi Summer School of the Italian
Physical Society, Varenna, ed. J. Ehlers, 1978.
//. Проблема начальных данных
159
93. Fischer A., Marsden J., Hamiltonian field theories on spacetime,
1978.
94. Fischer A., Marsden J., The space of gravitational degrees of
freedom, 1978.
95. Fischer A., Marsden J., Moncrief V., The structure of the space
solutions of Einstein’s equations, 1978.
96. Frankl F., Uber das Angangswertproblem fur lineare und nichtlineare
parti-elle Differentialgleichungen zweiter Ordnung. [См. также: Мат. сб.,
1937, т. 2 (44), с. 814.]
97. Friedman A., Partial gifferential equations. Holt, New York, 1969.
98. Friedrichs K. 0., Symmetric Hyperbolic linear differential equations.
Commun. Pure Appl. Math., 8, 345 (1954).
99. Friedrichs K-, On the laws of relativistic magneto-fluid dynamics.
Commun. Pure Appl. Math., 27, 749 (1974).
100. Garding L., Cauchy’s problem for hyperbolic equations. Lecture
Notes. University of Chicago, 1957. [Имеется перевод: Гординг Л. Задача
Коши для гиперболических уравнений.— М.: ИЛ, 1961.]
101. Garding L., Energy inequalities for hyperbolic systems. In:
Differential Analysis. Bombay Colloquium, Oxford University Press, 1964,
p. 209.
102. Geroch R., General relativity. Proc. Symp. Pure Math., vol. 27 (part
2), 1975, p. 401; J. Math. Phys., 13, 956 (1972); Ann. N. Y. Scad. Sci.,
224, 108 (1973).
103. Hanson A., Regge Т., Teitelboim C., Constrained Hamiltonian systems.
Ac-cademia Nazionale dei Lincei, Rome, No. 22, 1976, p. 1.
104. Hawking S. W., Ellis G. F. R., The Large Scale Structure of space-
time. Cambridge University Press, 1973. [Имеется перевод: Хокинг С.,
Эллис Дж. Крупномасштабная структура пространства-времени.— М.: Мир,
1977.]
105. Hermann R., Gauge Fields and Cartan—Ehresman Connections. Math-Sci
Press, Brookline, Massachusetts, 1975.
106. Hille ?., Phillips R., Functional Analysis and Semigroups. Americal
Mathematical Society. Providence, Rhode Island, 1967. [Имеется перевод:
Хилле Э., Филлипс Р. Функциональный анализ и полугруппы.— М.: ИЛ, 1962.]
107. Hormander L., Pseudo-differential operators asd non-elliptic
boundary value problems. Ann. Math., 83, 129 (1966).
108. Hugles Т., Kato Т., Marsden J., Well-posed quasi-linear second-order
hyperbolic systems with applications to nonlinear elastodynamics and
general relativity. Arch. Ration. Mech. Anal., 63, 273 (1977).
109. Kato Т., Perturbation Theory for Linear Operators. Springer, Berlin,
Heidelberg, New York, 1966. [Имеется перевод: Kamo Т. Теория возмущений
линейных операторов.— М.: Мир, 1972.]
110. Kato Т., Linear evolution equations of «hvperbolic» type. J. Fac.
Sci. Univ. Tokyo, 17, 241 (1970).
111. Kato Т., Linear evolution equations of «hyperbolic» type. II Math.
Soc. Japan, 25, 648 (1973).
112. Kato Т., The Cauchy problem for quasi-linear symmetric hyperbolic
systems. Arch. Ration. Mech. Anal., 58, 181 (1975).
113. Kato Т., Quasi-linear equations of evolution with applications to
partial differential equations. Springer Lecture Notes, 448, 25 (1975).
114. Kato Т., Linear and Quasilinear Equations of Evolution of Hyperbolic
Type. Bressanone Lectures. Centro Internazionale Matematico Estivo, Rome,
1977.
115. Kazdan J., Warner F., A direct approach to the determination of
Gaussian and scalar curvature functions. Invent. Math., 28, 227 (1975).
116. Kijowski J., Szczyrba W., A canonical structure for classical field
theories. Commun. Math. Phys., 46, 183 (1976).
117. Kobayashi S., Transformation Groups in Differential Geometry.
Springer, Berlin, Heidelberg, New York, 1974.
118. Kryzanski М., Schauder J., Quasilineare Differentialgleichungen
zweiter Ordnung von hyperbolischen Typus. Gemischte Randwertaufgaben,
Studia Math., 162 (1934).
119. Kuchar K., A bubble-time canonical formalism for geometrodynamics.
J. Math, Phys., 13, 768 (1972).
160
А. Фишер, Дж. Марсден
120. Kuchar К.. Gcorretrodynamics regained: a Lagrangian approach. J.
Math. Phys.,^ 15, 708 (1974).
121. Kuchar K-, Geometry of hyperspace. 1. J. Math. Phys., 17, 777
(1976).
122. Kuchar K., Kinematics of tensor fields in hyperspace. 11. J. Math.
Phys., 17, 792 (1976).
123. Kuchar K-, Dynamics of tensor fields in hyperspace. III. J. Math.
Phys., 17, 801 (1976).
124. Kuchar K., Geometrodynamics with tensor sources. IV. J. Math. Phys.,
18, 1589 J1977).
125. Kuchar K., On equivalence of parabolic and hyperbolic super-
Hamiltonians. J. Math. Phys., 19, 390 (1978).
126. Lanczos C., Ein verinfachendes Koordinatensystem fflr die
Einsteinschen Gra-vitationsgleichungen. Phys. Z., 23, 537 (1922).
127. Lax P., Cauchy’s problem for hyperbolic equations and the
differentiability of solutions of elliptic equations. Commun. Pure Appl.
Math., 8, 615 (1955).
128. Leray J., Hyperbolic Differential Equations. Institute for Advanced
Study (Notes), 1953.
129. Lichnerowicz A., Problemes globaux en mfecanique relativiste.
