|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Engel K.-J., Nagel R. — One-Parameter Semigroups for Linear Evolution Equations |
|
|
|
| Предметный указатель |
Resolvent map, poles of 246
Resolvent map, residue of 246
Resolvent, compact 117
Resolvent, equation 239
Resolvent, integral representation 55
Resolvent, operator 47
Resolvent, pseudo 206
Resolvent, set 15 47 239
Riemann — Lebesgue lemma 406 526
Right multiplicative perturbation 201
Right translation 33
Rotation group 35 320
Scattering operator 362
Schwartz space 405
Second-order Cauchy problem 367
Second-order Cauchy problem, controlled 455
Second-order Cauchy problem, extended 374
Second-order Cauchy problem, overdamped 370
Second-order Cauchy problem, solution of 368
Semiflow 95
Semiflow, uniquely ergodic 345
Semigroup 308
Semigroup with balanced exponential growth 336 346 358 364
Semigroup,  36
Semigroup, abstract Sobolev space of 124 126
Semigroup, adjoint 43
Semigroup, analytic 101
Semigroup, asymptotically norm-continuous 282
Semigroup, bounded 40
Semigroup, compact 308
Semigroup, contractive 40
Semigroup, differentiable 109
Semigroup, diffusion 68 69 177 224 384
Semigroup, dual 62
Semigroup, essential growth bound of 258
Semigroup, essentially compact 336
Semigroup, eventually compact 117
Semigroup, eventually differentiable 109
Semigroup, eventually norm-continuous 112
Semigroup, exponentially stable 298
Semigroup, extrapolation space of 126
Semigroup, fixed space 337
Semigroup, generator of 47
Semigroup, growth bound of 40 250
Semigroup, hyperbolic 13 24 305
Semigroup, immediately compact 117
Semigroup, immediately differentiable 109
Semigroup, immediately norm-continuous 112
Semigroup, irreducible 357
Semigroup, isometric 40
Semigroup, isometric limit 263
Semigroup, law 14 536
Semigroup, matrix 8
Semigroup, mean ergodic 338
Semigroup, multiplication 27 122 217
Semigroup, nilpotent 35 120 123
Semigroup, norm-continuous 16
Semigroup, one-parameter 14 535
Semigroup, orbit of 6
Semigroup, periodic 266
Semigroup, positive 322 353
Semigroup, product 44 64
Semigroup, quasi-compact 332
Semigroup, quasicontractive 76
Semigroup, quotient 43 61
Semigroup, rescaled 43 60
Semigroup, semitopological 308
Semigroup, similar 10 59
Semigroup, stable 12
Semigroup, strongly continuous 36
Semigroup, strongly stable 296 323 326
Semigroup, subspace 43 60
Semigroup, sun dual 62 134
Semigroup, totally ergodic 345
Semigroup, translation 34 35
Semigroup, type of 40
Semigroup, uniformly continuous 16
Semigroup, uniformly exponentially stable 18 296
Semigroup, uniformly mean ergodic 342
Semigroup, uniformly stable 296
Semigroup, weak* generator of 61
Semigroup, weak*-continuous 43
Semigroup, weak*-stable 298
Semigroup, weakly continuous 40
Semigroup, weakly stable 296
Semigroups, isomorphic 43
Semigroups, similar 43
Semitopological semigroup 308
Similar control systems 466
Sobolev space of vector-valued functions 525
Sobolev space, abstract 124 126 129
Sobolev space, classical 407
Sobolev, embedding theorem 408
| Sobolev, tower 126
Solution, classical 145 420 436
Solution, integral 156
Solution, mild 146 436
Space of strong continuity 132
Spectral bound 57 250
Spectral bound, equal growth bound condition 281
Spectral bound, function 430
Spectral decomposition 244
Spectral inclusion theorem 276
Spectral mapping theorem 19 243 270 271
Spectral mapping theorem for eventually norm-continuous semigroups 280
Spectral mapping theorem for evolution semigroups 483
Spectral mapping theorem for the point and residual spectrum 277
Spectral mapping theorem for the resolvent 243
Spectral mapping theorem, weak 32 271 283
Spectral projection 244
Spectral radius 241
Spectral theorem 30
Spectrum 15
Spectrum, approximate point 242
Spectrum, essential 248
Spectrum, point 241
Spectrum, residual 243
Stability, condition 212 227
Stability, exponential 298
Stability, external 475
Stability, input–output 475
Stability, internal 475
Stability, Liapunov 12
Stability, strong 296 323 326
Stability, uniform 296
Stability, uniform exponential 18 296
Stability, weak 296
Stability, weak* 298
Stabilizability 453
State space 368 452 533
Streaming semigroup 363
Strong operator topology 512
Structural damping 372
Subspace of strong continuity 62
Sun dual 62
Support of a function 25
system 533
System operator 452
System, autonomous 535
System, deterministic 535
Tensor product 520
Theorem, Arendt — Batty — Lyubich — Vu 326
Theorem, Banach — Alaoglu 511
Theorem, Datko — Pazy 300
Theorem, Desch — Schappacher 182
Theorem, Gearhart — Greiner — Pruss 302
Theorem, Gelfand 521
Theorem, Greiner 366
Theorem, Halmos — von Neumann 322
Theorem, Hille — Yosida 73
Theorem, Jacobs — Glicksberg — DeLeeuw 314
Theorem, Kre?n 511
Theorem, Liapunov 12 19 302 346
Theorem, Lumer — Phillips 83
Theorem, Miyadera — Voigt 195
Theorem, Perron — Frobenius 356
Theorem, Plancherel 407 529
Theorem, Sobolev’s embedding 408
Theorem, Stone 89
Theorem, Trotter — Kato 209 212
Time 533
Topology, strong operator 512
Topology, uniform operator 512
Topology, weak 511
Topology, weak operator 512
Topology, weak* 511
Transfer function 474
Translation, group 34
Translation, property 95 422
Translation, semigroup 33—35
Transport, equation 361
Transport, operator 362
Transport, semigroup 363
Trotter product formula 227
Uniform operator topology 512
Variation of parameters formula 162 183 186 196 198 425 436
Vector lattice 353
Volterra, integro-differential equation 449
Volterra, operator 162 182 195
Weak derivative 407 413
Weak operator topology 512
Weak spectral mapping theorem 32 271 283
Weak topology 511
Weak*, generator 61
Weak*, topology 511
wronskian 391
Yosida approximation 74 205 214
|
|
|
| Реклама |
|
|
|
|
|
О проекте