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| Egorov Y.V. (Ed), Shubin M.A. (Ed) — Partial Differential Equations II: Elements of the Modern Theory. Equations with Constant Coefficients |
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| Предметный указатель |
Agranovich, M.S. 4 6 26 36 37 67 69 113 114 155 156 232 251 252
Airy, G.B. 72 73
Amplitude of Fourier integral operater 49
Amplitude of pseudodifferential operater 9
Amplitude, classical 11
Analytic continuation of generalized function 41
Analytic functional 159
Arnol'd, V.I. 54 82 85 92 114 115 248—251
Atiyah, M.F. 25 109 114 115 127 242—247 250 252
Babich, V.M. 96 114 115
Balaban, T. 67 115
Banach, S. 164 165
Bateman, H. 146 188 199 209 210 251 252
Beals, R. 65 114 115
Beltrami, E. 106 112
Berard, P.H. 113—115
Berezin, F.A. 96 115
Bernshtejn, I.N. 143 167 172 173 250 252
Bers, L. 36 37 115
Bessel, F.W. 125 186 188 193 198 207
Bicharacteristic(s) 63 182
Bicharacteristic(s) strips 182
Bicharacteristic(s), glancing 73
Bicharacteristic(s), null 74
Big singularity 112
Birman, M.Sh. 114 115
Bjork, J.E. 250 252
Bochner, S. 159 166 239
Bogolyubov, N.N. 126 127 144 145 206 251 252
Borovikov, V.A. 248 250 252
Bott, R. 109 114 115 127 242—247 250 252
Boundary value of analytic function 141
Boundary-value problem, regular 221 226
Boundary-value problem, third 225
Boundary-value problem, well-posed 231
Brillouin, L. 78
Buldyrev, V.S. 96 114 115
Bunyakovskij, V.Ya. 154
Calderon, A.P. 36 39 40 43 113 115
Carleman, T. 110 115
Cauchy problem 225
Cauchy problem, regular 226
Cauchy, A.L. 30 31 39 49 62 86 87 140 154 165 166 170 184 218 224 225 227—231 235 238
Caustics 90
Characteristic cone 179 183 242
Characteristic conoid 183
Characteristic conormal 178
Characteristic equation 178
Characteristic hypersurface 179
Characteristic plane 179
Characteristic polynomial 241
Chazarain, J. 111
Colin de verdiere 111
Condition with parameter, ellipticity 26
Condition, Hersh — Kreiss 66
Condition, Sakamato 68
Condition, Shapiro — Lopatinskij 232
Condition, uniform Lopatinskij 69
Cone 138
Cone, dual 160
Cone, future light 203
Cone, light 203
Cone, past light 203
Conical subset 45
Conjecture, Sato 73
Convolution of functions 137
Convolution of generalized functions 137
Cordes, H.O. 115
Courant, R. 96 97 100 115 182 183 251 252
D'Alembert, J. 125 144 237
Davydova, A.M. 248—250 252
Differential form, closed 54
Differential form, non-degenerate 54
Dirac, P.A.M. 129 133 252
Direction, hyperbolic 71
Dirichlet problem 224
Dirichlet problem for operator 229
Dirichlet, L.P.G. 43 99 224 225 229
distribution 128
Distribution with compact support 135
Distribution, exponentially growing 161
Distribution, Fourier 59
Distribution, temperately growing 141
Ditkin, V.A. 176 177 250 252
Division problem 164
Division problem in classes of tempered distributions 167
Doetsch, G. 126 176 177 250
Duistermaat, J. 63 112 114 116
Dynin, A.S. 25
Egorov, Yu.V. 4 6 8 9 13 14 16—19 26 37 40 41 44 48 55 56 61 62 65 67 68 85 90 96 99 101 110 114 116 251 252
Ehjdel'man, S.D. (=eidel'man, S.D.) 237 238 251 252
Ehrenpreis, L. 125 143 164 165 169 252
Eikonal 83
Embedding 129
Equation of heat transfer with absorption (generation) 219
Equation with friction, wave 216
Equation with retarded argument 177
Equation,  -regular 215
Equation, Airy 72
Equation, Cauchy — Riemann 218
Equation, convolution 177
Equation, diffusion 345
Equation, eikonal 83
Equation, heat conduction 145
Equation, Helmholtz 146
Equation, Klein — Gordon 144
Equation, klein — gordon hyperbolic 224
Equation, Laplace 145
Equation, petrovskij  -parabolic 219
Equation, Petrovskij well-defined 215
Equation, Schrodinger 145
Equation, second-order differential 196
Equation, Shilov h-parabolic 218
Equation, transport 53 85
Equation, wave 144
Erdelyi, A. 146 188 199 209 210 251 252
Eskin, G.I. (=ehskin, G.I.) 6 78 114 116 184 217 232 238 251 255
Euler, L. 61 125 182
Example, Friedlander 71
Example, Hadamard 230
Example, Lewy 64
Example, Taylor 74
Fedorova, S.I. 101 117
Fedoryuk, M.V. 54 79 85—87 90 95 96 113 114 116 118
Fedosov, B.V. 24 25 114 116
Fefferman, C. 65 114 115
Formula of eigenvalues, distribution 97
Formula of piecewise smooth functions, differentiation 129
Formula, Atiyah — Bott 108
Formula, D'Alembert 144 237
Formula, differentiation 149
Formula, Dynin — Fedosov 25
Formula, formal 169
Formula, heaviside 129
Formula, Kirchhoff 144 237
Formula, morse 248
Formula, noether-muskhelishvili 25
Formula, Poisson 144 237
Formula, Sokhotskij — Plemelj 155
Formula, translation 150
Fourier integral 149
Fourier, J.B.J. 36 48 56 59 88 125 149 151 153 175 176 213 239
Fredholm, I. 23 24 32 35
Friedlander, F.G. 71 116
Friedrichs, K. 6 114 116
Fubini, G.G. 150 153
Function, Dirac's delta 129
Fundamental solution of boundary-value problem 234
Fundamental solution of differential operator 142
Fundamental solution, advanced 144
| Fundamental solution, formal 200
Fundamental solution, invariant 197
Fundamental solution, invariant equation 142
Fundamental solution, retarded 144
Gabriehlov, A.M. 245 250 252
Garding, L. 125 127 182 183 215 229 231 236 240 242—250 252 253
Gel'fand, I.M. 25 125—127 129 134—136 140 143 148 150 152 158 159 167 172 189 191 192 229 234 237 250—253
Generalized function 128
Generalized function, derivative 129
Generalized function, order 135
Generalized function, product 137
Generalized function, temperately growing 161
Generating function of canonical transformation 55
Generating function of lagrangian manifold 93
Generating function, projective 247
Gevrey, M. 48
Giraud, G. 36
Givental, A.B. 114
Glancing surface 73
Glazman, I.M. 96 98 116
Gokhberg, I.Ts. 29 117
Gordon, W. 127 144 186 194 206 216 224
Gorin, E.A. 168 169 251 253
Green, G. 125
Grubb, G. 107 114 117
Grushin, V.V. 146 149 171 212 251 253
Guillemin, V. 44 79 96 112 114 116 117
Gunning, R. 159 251 253
Gureev, T.V. 101 117
Gusejn-zade, S.M. 82 114 115 248—250 252
Hadamard, J. 13 125 127 199 206 230 250 253
Hahn, K. 164 165
Hamilton, W.R. 48 55 84 90 91 92 95
Hamiltonian system 181
Hankel, H. 146 209
Hartogs, F. 247
Heaviside, O. 125 126 129 144
Helmholtz, H. 146 167 168 170 171 184 207 209 210 218 227
Herglotz, G. 125 246
Hersh, R. 66 67 117
Hilbert, D. 13 18 36 96 100 115
Hill, G.W. 113
Holder, O.L. 19 36
Holmgren, E. 39
Hormander staircase 166
Hormander, L. 6 8 9 13 14 17 19 32 35 37 39—42 44—48 58 61 63—65 74 79 85 96 112—114 116 117 125 130 143 145 146 150 154—156 159—161 166—170 181—184 212 214 215 217 222 223 230 250 251 253
Huygens, Ch. 44
Ikawa, M. 117
Ikehara, S. 109
Index, Maslov 94
Index, operator 24
Ivrii, V.Ya. (=ivrij, V.Ya.) 96 100 101 113 114 117
Jacobi, K.G.J. 90—92 95
John, F. 36 37 115
Jordan, C. 39 40
Kajitani, K. 117
Kirchhoff, G.R. 125 144 237
Klein, F. 127 144 171 186 194 206 216 224
Kohn, J.J. 6 113 117
Komech, A.I. 161 253
Korn, A. 36
Kostyuchenko, A.G. 26
Kotake, T. 182 183 250 253
Kramers, H. 78
Kreiss, H.O. 67 117
Krejn, M.G. 29 117
Krejn, S.G. (=krein, S.G.) 127 253
Kronecker, L. 133 234
Kumano-go, H. 6 9 14 17 19 32 35 114 117
Lacuna 244
Lacuna, local 244
Lacuna, strong 244
Laplace, P.S. 40 125 145 175 176 184 200 218 225 227 230 231
Lax, P. 70 86 87 116 118
Lebesgue, H.L. 99 103
Leibniz, G.W. 14
Lemma, Glazman 98
Lemma, Morse 80
Lemma, Weyl 184
Leray, J. 96 113 114 118 125 127 182 183 199 206 246 250 253
Levendorskij, S.Z. 105 118
Levi, E.E. 110
Levitan, B.M. 110 112 118 126
Lewy, H. 64
Lichtenstein, L. 36
Liouville, J. 93
Locally equivalent phase functions 58
Lojasiewicz inequality 169
Lojasiewicz, S. 143 167 169 170 250 254
Lopatinskij determinant 69
Lopatinskij matrix 69
Lopatinskij, Ya.B. 69 222 232 233 254
Lorentz, H.A. 134 186 193 204
Malgrange, B. 125 143 164 254
Manifold, Lagrangian 57 91
Manifold, quantized Lagrangian 94
Manifold, symplectic 54
Map, proper 14
Maslov, V.P. 85—87 90 94—96 113 114 118
Melrose, R. 73 114 118
Merzon, A. 161 165 174 251 254
Method, Maslov canonical operator 90
Method, Riesz complex powers 172
Method, stationary phase 79
Method, subtraction 169
Microlocal analysis 4 113 114
Mikhlin, S.G. 36 113 118 251 254
Mishchenko, A.S. 96 113 114 118
Mizohata, S. 36 38 118
Morse, H.M. 80 81 247 248
Muskhelishvili, N.I. 25
Nazajkinskij, V.E. 96 113 114 118
Neumann problem 225
Nirenberg, L. 6 40 70 71 113 114 117 118
Noether, F. 25
Nuij, W. 242 254
Oblique derivative problem 225
Olejnik, O.A. 114 118
Operator on manifold pseudodifferential pseudodifferential 19
Operator solvable at a point, pseudodifferential 63
Operator with constant coefficients, differential 241
Operator, -regular 215
Operator,  wave 171
Operator, canonical 94
Operator, Cauchy — Riemann 184
Operator, differential 6
Operator, elliptic 183
Operator, elliptic Fourier integral 56
Operator, elliptic pseudodifferential 15
Operator, formal adjoint 9
Operator, Fourier integral 48
Operator, function of 106
Operator, garding hyperbolic 215
Operator, global Fourier integral 60
Operator, Helmholtz 167
Operator, Hill 113
Operator, hyperbolic 243
Operator, hypoelliptic 184
Operator, Klein — Gordon 171
Operator, Laplace 184
Operator, Maslov canonical 94
Operator, multidimensional singular integral 13
Operator, on smooth curve, singular integral 22
Operator, one-dimensional singular integral 12
Operator, Petrovskij hyperbolic 242
Operator, petrovskij strictly hyperbolic 180 215
Operator, petrovskij well-defined 215
Operator, precanonical 93
Operator, principal type differential 60
Operator, principal type pseudodifferential 61
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