|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Friedlander F.G. — The Wave Equation on a Curved Space-Time |
|
|
|
| Предметный указатель |
 structure 3
adjoint of a differential operator 49 65
Adjoint of a tensor differential operator 203
Advanced potential 117
Affine connection 10
Affine parameter 12
Analytic continuation 53
Analytic space-time 141
Bicharacteristic 79
Bijective 265
Bitensor 204
Boundary of a manifold 5
Boundary of a set 263
Cauchy problem 50
Cauchy problem for a scalar wave equation 181 249
Cauchy problem for a tensor wave equation 211
Causal curve 147
Causal domain 146
Caustic 88
Characteristic 51 77
Characteristic initial value problem 76 193
Chart 3
Closed set 263
Closure 263
Codimension 5
Compact set 264
Continuous function (map) 265
Convolution 43
Coordinate neighbourhood 3
Coordinate system 3
Coordinate transformation 3
Cotangent bundle 8
Cotangent space 7
Covector 5
Cross-section 6
Curvature 11
Curve 5
d'Alembertian 12
de Rham operator 27
Delta function see "Dirac delta function"
Dependence domain 129
Descent, method of 251
Diffeomorphism 4
Differential operator 49
Dirac delta function 32
Dirac delta function, on a manifold 65
Discontinuity of order k 92
Distribution of finite order 34
Distribution on  32
Distribution on a manifold 60 63
Distribution topology see "Weak topology"
Distribution with compact support 38
Divergence 11
Divergence theorem 26
Dual of a topological vector space 269
emission 138
Exponential map 14
Exterior, differential 21
Exterior, form 20
Exterior, product 20
Finite part 54
Flux of a vector field 26
Focal point 88
Fourier — Laplace transform 256
Function 265
Fundamental solution 52 65
Fundamental solution of a scalar wave equation 154 240
Fundamental solution of a tensor wave equation 207
Future-compact 169
Future-directed 73
Geodesic 12
Geodesic distance 17
Geodesically convex domain 15
Gradient 7
Hadamard series 146
Hausdorff space 263
Heaviside function 121
Homeomorphism 266
Huygens' principle 221
Hyper surf ace 5
Imbedding 4
Improperly posed 123
Induced orientation 26
Infective 265
Initial value problem 50
Initial value problem for characteristics and null fields 81
Inner product 9
Integral of an exterior form 23
Invariant volume element 25
Kernel distribution 246
Kirchhoff's formula 124
| Laplacian 12
Leray form 68
Lienard — Wiechert potential 219
Line source 212
Linear form 268
Local coordinates 3
Locally finite 4
Locally integrable 23
Lorentzian metric 9
m-surface 5
Manifold 2
Manifold-with-boundary 5
Metric 9
Minkowskian chart 72
Multi-index 29
Neighbourhood 262
Normal coordinates 16
Normal neighbourhood 15
Null, cone 129
Null, field 76
Null, geodesic 80
Null, hyper surface 75
Null, semi-cone 129
Null, vector 73
Open set 262
Ordinary wave equation 72 229
Orientable 23
Orientation 22
Orientation-preserving chart 23
Orthogonal vectors 74
Paracompact 4
Parametrix 144
Partition of unity 4
Past-compact 169
Past-directed 73
Progressive wave 101 104
Propagator see "Transport bitensor"
Proper map 48
Properly posed 123
Pseudo-Riemannian metric 9
Regularization 47
Resolving kernel 151
Restriction 265
Retarded potential 117
Riemann function 242
Riemannian metric 9
Scalar product 7
Semi-norm 267
Semi-norm estimate 32
Sequentially continuous 266
Signature 9
Space-like field 76
Space-like hyper surface 75
Space-like vector 73
Space-time 72
Spatial boundary 175
Sub-manifold 4
Support of a distribution 33
Support of a function 4
Support of an exterior form 20
Surjective 265
Tail term 158
Tangent bundle 6
Tangent space 6
Tangent vector 6
Tensor 8
Tensor distribution 63
Tensor product of distributions 40
Tensor product of tensors 8
Tensor wave equation 109 203
Test function 30
Time orientation 73
Time-like field 76
Time-like hypersurface 75
Time-like vector 73
Topological space 262
Topological space, vector space 266
topology 262
Topology, induced 263
Topology, product 263
Transport bitensor 205
Transport equation, scalar 96 104
Transport equation, tensor 109
Trivial transformation 159
Vector see "Tangent vector"
Vector field 6
Volume element see "Invariant volume element"
Wave equation 72
Wave front 177
Weak solution 49
Weak topology 34
|
|
|
| Реклама |
|
|
|
|
|
О проекте