-
2
-
-
0003796630
-
-
New York: Academic
-
Adams 1975 Sobolev Spaces (New York: Academic)
-
(1975)
Sobolev Spaces
-
-
Adams1
-
3
-
-
0037777456
-
Propagation de l'analiticité des solutions de systèmes hyperboliques non-linéaires
-
Alhinac S and Métivier G 1984 Propagation de l'analiticité des solutions de systèmes hyperboliques non-linéaires Invent. Math. 75 189-204
-
(1984)
Invent. Math.
, vol.75
, pp. 189-204
-
-
Alhinac, S.1
Métivier, G.2
-
4
-
-
0000423572
-
Appearance of coordinate shocks in hyperbolic formalisms of general relativity
-
Alcubierre M 1997 Appearance of coordinate shocks in hyperbolic formalisms of general relativity Phys. Rev. D 55 5981-91
-
(1997)
Phys. Rev. D
, vol.55
, pp. 5981-5991
-
-
Alcubierre, M.1
-
5
-
-
0001074658
-
Pathologies of hyperbolic gauges in general relativity and other field theories
-
Alcubierre M and Massó J 1998 Pathologies of hyperbolic gauges in general relativity and other field theories Phys. Rev. D 57 R4511-5
-
(1998)
Phys. Rev. D
, vol.57
-
-
Alcubierre, M.1
Massó, J.2
-
6
-
-
34249839460
-
On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for the Einstein's field equations
-
Andersson L, Chrúsciel P T and Friedrich H 1992 On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for the Einstein's field equations Commun. Math. Phys. 149 587-612
-
(1992)
Commun. Math. Phys.
, vol.149
, pp. 587-612
-
-
Andersson, L.1
Chrúsciel, P.T.2
Friedrich, H.3
-
7
-
-
0013198965
-
Solutions of the constraint equations in general relativity satisfying hyperboloidal boundary conditions
-
Polska Academic Nauk
-
Andersson L and Chrúsciel P T 1996 Solutions of the constraint equations in general relativity satisfying hyperboloidal boundary conditions Dissertationes Mathematicae (Polska Academic Nauk)
-
(1996)
Dissertationes Mathematicae
-
-
Andersson, L.1
Chrúsciel, P.T.2
-
8
-
-
85049057407
-
On the global evolution problem in 3 + 1 gravity
-
in preparation
-
Andersson L and Moncrief V On the global evolution problem in 3 + 1 gravity J. Geom. Phys. in preparation
-
J. Geom. Phys.
-
-
Andersson, L.1
Moncrief, V.2
-
10
-
-
0000177308
-
Coordinate invariance and energy expressions in general relativity
-
Arnowitt R, Deser S and Misner C 1961 Coordinate invariance and energy expressions in general relativity Phys. Rev. 122 997-1006
-
(1961)
Phys. Rev.
, vol.122
, pp. 997-1006
-
-
Arnowitt, R.1
Deser, S.2
Misner, C.3
-
11
-
-
0000624702
-
Existence of maximal surfaces in asymptotically flat space-times
-
Bartnik R 1984 Existence of maximal surfaces in asymptotically flat space-times Commun. Math. Phys. 94 155-75
-
(1984)
Commun. Math. Phys.
, vol.94
, pp. 155-175
-
-
Bartnik, R.1
-
12
-
-
0000902792
-
Introduction d'un tenseur du quatrieme ordre
-
Bel L 1959 Introduction d'un tenseur du quatrieme ordre C. R. Acad. Sci., Paris 247 1094-6
-
(1959)
C. R. Acad. Sci., Paris
, vol.247
, pp. 1094-1096
-
-
Bel, L.1
-
14
-
-
0001505323
-
Numerical investigation of cosmological singularities
-
Berger B K and Moncrief V 1993 Numerical investigation of cosmological singularities Phys. Rev. D 48 4676-87
-
(1993)
Phys. Rev. D
, vol.48
, pp. 4676-4687
-
-
Berger, B.K.1
Moncrief, V.2
-
15
-
-
25544468506
-
Hereditary effects in gravitational radiation
-
Blanchet L and Damour T 1992 Hereditary effects in gravitational radiation Phys. Rev. D 46 4304-19
-
(1992)
Phys. Rev. D
, vol.46
, pp. 4304-4319
-
-
Blanchet, L.1
Damour, T.2
-
16
-
-
0002022619
-
Isolated maximal surfaces in spacetime
-
Brill D and Flaherty F 1976 Isolated maximal surfaces in spacetime Commun. Math. Phys. 50 157-65
-
(1976)
Commun. Math. Phys.
, vol.50
, pp. 157-165
-
-
Brill, D.1
Flaherty, F.2
-
17
-
-
34250590049
-
Théorème d existence pour certain systèmes d'equations aux dérivées partielles nonlinéaires
-
Choquet-Bruhat Y 1952 Théorème d existence pour certain systèmes d'equations aux dérivées partielles nonlinéaires Act. Math. 88 141-225
-
(1952)
Act. Math.
, vol.88
, pp. 141-225
-
-
Choquet-Bruhat, Y.1
-
19
-
-
0347112949
-
Un théorème d'instabilité pour certain équations hyperboliques nonlinéaires
-
Choquet-Bruhat Y 1973 Un théorème d'instabilité pour certain équations hyperboliques nonlinéaires C. R. Acad. Sci., Paris A 276 281
-
(1973)
C. R. Acad. Sci., Paris A
, vol.276
, pp. 281
-
-
Choquet-Bruhat, Y.1
-
20
-
-
0001127920
-
Existence of global solutions of the Yang-Mills, Higgs and spinor fields in 3 + 1 dimensions
-
Choquet-Bruhat Y and Christodoulou D 1981 Existence of global solutions of the Yang-Mills, Higgs and spinor fields in 3 + 1 dimensions Annales des Ecole Normale Sup. 4th series vol 14 pp 481-506
-
(1981)
Annales des Ecole Normale Sup. 4th Series
, vol.14
, pp. 481-506
-
-
Choquet-Bruhat, Y.1
Christodoulou, D.2
-
22
-
-
34250590049
-
Un théorème d'existence pour certain systèmes d'equations aux derivées partielles non linéaires
-
Choquet-Bruhat Y and Fourès Y 1952 Un théorème d'existence pour certain systèmes d'equations aux derivées partielles non linéaires Act. Math. 88 141-225
-
(1952)
Act. Math.
, vol.88
, pp. 141-225
-
-
Choquet-Bruhat, Y.1
Fourès, Y.2
-
23
-
-
0000307876
-
Global aspects of the Cauchy problem in general relativity
-
Choquet-Bruhat Y and Geroch R P 1969 Global aspects of the Cauchy problem in general relativity Commun. Math. Phys. 14 329-35
-
(1969)
Commun. Math. Phys.
, vol.14
, pp. 329-335
-
-
Choquet-Bruhat, Y.1
Geroch, R.P.2
-
24
-
-
33845641932
-
Hyperbolicity of the 3+1 system of Einstein equations
-
Choquet-Bruhat Y and Ruggeri T 1983 Hyperbolicity of the 3+1 system of Einstein equations Commun. Math. Phys. 89 269-75
-
(1983)
Commun. Math. Phys.
, vol.89
, pp. 269-275
-
-
Choquet-Bruhat, Y.1
Ruggeri, T.2
-
26
-
-
18544385583
-
A mathematical theory of gravitational collapse
-
Christodoulou D 1987 A mathematical theory of gravitational collapse Commun. Math. Phys. 109 613-47
-
(1987)
Commun. Math. Phys.
, vol.109
, pp. 613-647
-
-
Christodoulou, D.1
-
27
-
-
0042344382
-
Solutions globales des equations de champ de Yang-Mills
-
Christodoulou D 1981 Solutions globales des equations de champ de Yang-Mills C. R. Acad. Sci., Paris A 293 39-42
-
(1981)
C. R. Acad. Sci., Paris A
, vol.293
, pp. 39-42
-
-
Christodoulou, D.1
-
28
-
-
84990602498
-
Global solutions for nonlinear hyperbolic equations for small data
-
Christodoulou D 1986 Global solutions for nonlinear hyperbolic equations for small data Commun. Pure Appl. Math. 39 267-82
-
(1986)
Commun. Pure Appl. Math.
, vol.39
, pp. 267-282
-
-
Christodoulou, D.1
-
29
-
-
84990591638
-
Asymptotic properties of linear field equations in Minkowski space
-
Christodoulou D and Klainerman S 1990 Asymptotic properties of linear field equations in Minkowski space Commun. Pure Appl. Math. XLIII 137-99
-
(1990)
Commun. Pure Appl. Math.
, vol.43
, pp. 137-199
-
-
Christodoulou, D.1
Klainerman, S.2
-
33
-
-
4244075062
-
On the uniqueness in the large of solutions to the Einstein equations (strong cosmic censorship)
-
Providence, RI: American Mathematical Society
-
Chrúsciel P T 1992 On the uniqueness in the large of solutions to the Einstein equations (strong cosmic censorship) Mathematical Aspects of Classical Field Theory (Seattle, WA 1991) (Providence, RI: American Mathematical Society) pp 235-73
-
(1992)
Mathematical Aspects of Classical Field Theory (Seattle, WA 1991)
, pp. 235-273
-
-
Chrúsciel, P.T.1
-
34
-
-
33846122549
-
The global existence problem and cosmic censorship in general relativity
-
Eardley D and Moncrief V 1981 The global existence problem and cosmic censorship in general relativity Gen. Rel. Grav. 13 887-92
-
(1981)
Gen. Rel. Grav.
, vol.13
, pp. 887-892
-
-
Eardley, D.1
Moncrief, V.2
-
35
-
-
0003054750
-
The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I
-
Fisher A and Marsden J E 1972 The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I Commun. Math. Phys. 28 1-38
-
(1972)
Commun. Math. Phys.
, vol.28
, pp. 1-38
-
-
Fisher, A.1
Marsden, J.E.2
-
36
-
-
0347112946
-
General relativity, partial differential equations and dynamical systems
-
Fisher A and Marsden J E 1973 General relativity, partial differential equations and dynamical systems AMS Proc. Symp. Pure Math. 23 309-27
-
(1973)
AMS Proc. Symp. Pure Math.
, vol.23
, pp. 309-327
-
-
Fisher, A.1
Marsden, J.E.2
-
37
-
-
0001155750
-
Cauchy problems for the conformal vacuum field equations in general relativity
-
Friedrich H 1983 Cauchy problems for the conformal vacuum field equations in general relativity Commun. Math. Phys. 91 445-72
-
(1983)
Commun. Math. Phys.
, vol.91
, pp. 445-472
-
-
Friedrich, H.1
-
38
-
-
0011467717
-
Existence and structure of past asymptotically simple solutions of Einstein's field equations with positive cosmological constant
-
Friedrich H 1986 Existence and structure of past asymptotically simple solutions of Einstein's field equations with positive cosmological constant J. Geom. Phys. 3 101-17
-
(1986)
J. Geom. Phys.
, vol.3
, pp. 101-117
-
-
Friedrich, H.1
-
39
-
-
84972497586
-
On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations
-
Friedrich H 1991 On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations J. Differ. Geom. 34 275-345
-
(1991)
J. Differ. Geom.
, vol.34
, pp. 275-345
-
-
Friedrich, H.1
-
40
-
-
22244445878
-
Hyperbolic reductions for Einstein equations
-
Friedrich H 1996 Hyperbolic reductions for Einstein equations Class. Quantum Grav. 13 1451-69
-
(1996)
Class. Quantum Grav.
, vol.13
, pp. 1451-1469
-
-
Friedrich, H.1
-
42
-
-
34047263340
-
The domain of dependence
-
Geroch R P 1970 The domain of dependence J. Math. Phys. 11 437-9
-
(1970)
J. Math. Phys.
, vol.11
, pp. 437-439
-
-
Geroch, R.P.1
-
43
-
-
0001301252
-
H-surfaces in Lorentzian manifolds
-
Gerhardt C 1983 H-surfaces in Lorentzian manifolds Commun. Math. Phys. 89 523-53
-
(1983)
Commun. Math. Phys.
, vol.89
, pp. 523-553
-
-
Gerhardt, C.1
-
44
-
-
0000775061
-
Gravitational waves in closed universes
-
Gowdy R H 1971 Gravitational waves in closed universes Phys. Rev. Lett. 27 826-9
-
(1971)
Phys. Rev. Lett.
, vol.27
, pp. 826-829
-
-
Gowdy, R.H.1
-
45
-
-
0642300596
-
Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions
-
Gowdy R H 1974 Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: topologies and boundary conditions Ann. Phys. 83 203-41
-
(1974)
Ann. Phys.
, vol.83
, pp. 203-241
-
-
Gowdy, R.H.1
-
46
-
-
0007270307
-
The conservation of matter in general relativity
-
Hawking S W 1970 The conservation of matter in general relativity Commun. Math. Phys. 18 301-6
-
(1970)
Commun. Math. Phys.
, vol.18
, pp. 301-306
-
-
Hawking, S.W.1
-
48
-
-
0017428498
-
Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
-
Hughes T J R, Kato T and Marsden J E 1976 Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity Arch. Rational Mech. Anal. 63 273-94
-
(1976)
Arch. Rational Mech. Anal.
, vol.63
, pp. 273-294
-
-
Hughes, T.J.R.1
Kato, T.2
Marsden, J.E.3
-
49
-
-
0030549263
-
Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
-
Huisken G and Yau S T 1996 Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature Inventiones Matematicae
-
(1996)
Inventiones Matematicae
-
-
Huisken, G.1
Yau, S.T.2
-
50
-
-
21844481319
-
Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
-
Isenberg J 1995 Constant mean curvature solutions of the Einstein constraint equations on closed manifolds Class. Quantum Grav. 12 2249-74
-
(1995)
Class. Quantum Grav.
, vol.12
, pp. 2249-2274
-
-
Isenberg, J.1
-
53
-
-
0000744112
-
Linear evolution equation of hyperbolic type
-
Kato T 1970 Linear evolution equation of hyperbolic type J. Fac. Sci. Univ. Tokyo 17 241-58
-
(1970)
J. Fac. Sci. Univ. Tokyo
, vol.17
, pp. 241-258
-
-
Kato, T.1
-
55
-
-
0000870142
-
The null condition and global existence to nonlinear wave equations
-
Klainerman S 1986 The null condition and global existence to nonlinear wave equations Lect. Appl. Math. 23 293-326
-
(1986)
Lect. Appl. Math.
, vol.23
, pp. 293-326
-
-
Klainerman, S.1
-
56
-
-
84990556410
-
Remarks on the global Sobolev inequalities in Minkowski space
-
Klainerman S 1987 Remarks on the global Sobolev inequalities in Minkowski space Commun. Pure Appl. Math. 40 111-7
-
(1987)
Commun. Pure Appl. Math.
, vol.40
, pp. 111-117
-
-
Klainerman, S.1
-
57
-
-
84990602599
-
Uniform decay estimates and the Lorentz invariance of the classical wave equation
-
Klainerman S 1985 Uniform decay estimates and the Lorentz invariance of the classical wave equation Commun. Pure Appl. Math. 38 321-32
-
(1985)
Commun. Pure Appl. Math.
, vol.38
, pp. 321-332
-
-
Klainerman, S.1
-
58
-
-
84980074238
-
Non linear hyperbolic equations
-
Lax P D 1953 Non linear hyperbolic equations Commun. Pure Appl. Math. 6 231-58
-
(1953)
Commun. Pure Appl. Math.
, vol.6
, pp. 231-258
-
-
Lax, P.D.1
-
60
-
-
0001763234
-
New conservation laws for zero rest-mass fields in asymptotically flat space-time
-
Newman E T and Penrose R 1968 New conservation laws for zero rest-mass fields in asymptotically flat space-time Proc. R. Soc. A 305 175-204
-
(1968)
Proc. R. Soc. A
, vol.305
, pp. 175-204
-
-
Newman, E.T.1
Penrose, R.2
-
61
-
-
84972536320
-
An abstract form of the nonlinear Cauchy-Kowaleski theorem
-
Nirenberg L 1972 An abstract form of the nonlinear Cauchy-Kowaleski theorem J. Differ. Geom. 6 561-76
-
(1972)
J. Differ. Geom.
, vol.6
, pp. 561-576
-
-
Nirenberg, L.1
-
62
-
-
0003074871
-
Conformal treatment of infinity
-
ed B deWitt and C deWitt (New York: Gordon and Breach)
-
Penrose R 1963 Conformal treatment of infinity Relativity, Groups and Topology ed B deWitt and C deWitt (New York: Gordon and Breach)
-
(1963)
Relativity, Groups and Topology
-
-
Penrose, R.1
-
63
-
-
0001207885
-
Zero rest mass fields including gravitation: Asymptotic behavior
-
Penrose R 1962 Zero rest mass fields including gravitation: asymptotic behavior Proc. R. Soc. A 284 159-203
-
(1962)
Proc. R. Soc. A
, vol.284
, pp. 159-203
-
-
Penrose, R.1
-
64
-
-
80655126190
-
Local and global existence theorems for the Einstein equations
-
Rendall A D 1998 Local and global existence theorems for the Einstein equations Living Rev. Relativity URL: http://www.livingreviews.org/Articles/Volume1/1998-4rendall
-
(1998)
Living Rev. Relativity
-
-
Rendall, A.D.1
-
65
-
-
0005179502
-
Existence and non-existence results for global constant mean curvature foliations
-
Rendall A D 1997 Existence and non-existence results for global constant mean curvature foliations Proc: 2nd World Congress of Nonlinear Analysts (Athens, 1996) pt 6, vol 30 pp 3589-98
-
(1997)
Proc: 2nd World Congress of Nonlinear Analysts (Athens, 1996)
, vol.30
, Issue.6 PART
, pp. 3589-3598
-
-
Rendall, A.D.1
-
66
-
-
21344498199
-
The Newtonian limit for asymptotically flat solutions of the Vlasov-Einstein system
-
Rendall A D 1994 The Newtonian limit for asymptotically flat solutions of the Vlasov-Einstein system Commun. Math. Phys. 163 89-112
-
(1994)
Commun. Math. Phys.
, vol.163
, pp. 89-112
-
-
Rendall, A.D.1
-
67
-
-
0347112944
-
Hyperbolic methods for the Einstein equations
-
Reula O 1998 Hyperbolic methods for the Einstein equations Living Rev. Relativity URL: http://www.livingreviews.org /Articles/Volume1/1998-3reula
-
(1998)
Living Rev. Relativity
-
-
Reula, O.1
-
69
-
-
33646610527
-
Kinematical conditions in the construction of spacetime
-
Smarr L and York J 1978 Kinematical conditions in the construction of spacetime Phys. Rev. D 17 2529-51
-
(1978)
Phys. Rev. D
, vol.17
, pp. 2529-2551
-
-
Smarr, L.1
York, J.2
-
70
-
-
26744444552
-
Radiation gauge in general relativity
-
Smarr L and York J 1978 Radiation gauge in general relativity Phys. Rev. D 17 1945-56
-
(1978)
Phys. Rev. D
, vol.17
, pp. 1945-1956
-
-
Smarr, L.1
York, J.2
-
72
-
-
0346482749
-
Gravitational collapse and cosmic censorship
-
Wald R 1997 Gravitational collapse and cosmic censorship Preprint gr-qc/9710068
-
(1997)
Preprint Gr-qc/9710068
-
-
Wald, R.1
-
73
-
-
0002849466
-
Recent work connected with the Kakeya problem
-
ed H Rossi (Providence, RI: American Mathematical Society)
-
Wolff T 1998 Recent work connected with the Kakeya problem Prospects in Mathematics ed H Rossi (Providence, RI: American Mathematical Society)
-
(1998)
Prospects in Mathematics
-
-
Wolff, T.1
|