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Neubrander F. (Ed), Ferreyra G.S. (Ed) — Evolution Equations, Vol. 168
Neubrander F. (Ed), Ferreyra G.S. (Ed) — Evolution Equations, Vol. 168



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Название: Evolution Equations, Vol. 168

Авторы: Neubrander F. (Ed), Ferreyra G.S. (Ed)

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 464

Добавлена в каталог: 29.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$B_{c_{(X)}}$      143
$L^{2}$ error estimates      429
$\alpha$-spectral dense solution set      145
$\alpha$-type V operator      144
$\Gamma$-admissible      31
Abelian limit      216
Abscissa of convergence      22
Absolutely continuous spectrum      202 218
Abstract Cauchy initial value problem      182
Abstract Cauchy problem      145 277 394 399
Acceleration waves      377
Accretive      361
Accretivity      35
Adaptive      153
Admissible pair      5
Almost periodic      368 370
Analytic semigroup      29 30 181
Asymptotically almost periodic      362 370
Asymptotically stable      362
B-evolution      123 127 128
Banach lattice      327
Band edges      225
Benjamin — Ono equation      12
Bernoulli equation      377
Bi-laplacian      240
Borg-type theorem      202
Boundary control      133
Boundary stabilization      247
Branch points      225
C-cosine function      393 394
C-existence family      143
C-pseudoresolvent      396
C-regularized $H^{\infty}(\omega)$ functional calculus      143
C-regularized F functional calculus      141
C-resolvent set      143
C-semigroup      124
Canonical commutation relations      238
Cauchy problem      362 369 419
Cauchy — Dirichlet problem      424
Center manifolds      417
Characteristic boundary      384
Clamped plate      240
Coagulation kernel      278
Commutator      235
Comparison results      270
Completely integrable equation      16
Conservation laws      35 208
Conservation of mass      279
Consistent evolutionary system      280 284
Continuous dependence      35
Core      281 325
Cosine family      142 146
Countably Hilbert space      290
Countably pre-Hilbert space      290
Coupled system      189
Cross diffusion      416
Decay rates      89
Decoupling      270
Degenerate distributed parameter systems      153
Density of states      238
Diffractive problems      181
Diffusion process      177
Dirac operator      150
Dirichlet boundary condition      201 214
Dirichlet — Neumann operator      169
dispersion      67
Dissipation      67
Distributions      287
Domain of strong continuity      328
Dynamical boundary conditions      167
Eigenvalue problem      180
Elliptic potentials      226
Empathy      124
Empathy property      124
Entropy condition      35
Equicontinuous      393
Eventually norm continuous      22
Evolution equations      141
Evolution semigroup      307
Evolution system      284
Evolutionary family      100
Evolutionary semigroup      102
Exponential dichotomy      101
Exponential growth bound      26
Exponentially bounded C-cosine function      404
Exponentially equicontinuous      393 396
Exponentially Lipschitz continuous      393 401
Exponentially stable      302
F functional calculus      141
Finite element approximations      429
Finite time blow-up      419
Finite time breakdown      383
Finite-gap potentials      224
Floquet theory      213
Fourier multiplier operator      11
Fractional powers      147
Fragmentation kernel      278
Free vibrations      189
Functional calculus      142 287 325
Functional differential equation      361
Gelation      279
Generation theorems      394 398
Generator of the empathy      128
Generators      394
Genuine nonlinearity      383
Global attractor      189
Global dynamics      188
Growth bound      303
Growth bound or type      21
Hamilton — Jacobi systems      273
Heat flux      375
Herglotz function      211 214
Hile — Protter inequality      237
Hopf bifurcation      407
Hyperbolic      302
Hyperbolic evolutionary families      96
Hyperbolicity      97 301
Hyperbolicity theorem      303
Hyperelliptic Riemann surface      224
Identification      153
Imaginary powers      143
Impurity scattering      202
Inertial manifold      189
Infinite delay      361
Infinitesimal generator      181 397
Inradius      242
Integral generator      394
Integrated semigroup      124
Interface compatibility condition      179
Intermediate long wave equation      11
Inverse scattering theory      201
Inverse spectral problem      201
Inverse spectral theory      202
Isospectral manifold      225
Jacobi operators      218
Jointly closed operators      127
Jost solutions      202
KdV conservation laws      209
KdV equation      12 223
KdV hierarchy      201 223
KdV invariants      208 212
Kirchhoff plate      245
KLKH systems      317
Krein spectral shift function      201 211
Krein — Rutman theorem      17
Lame potential      225
Laplace generator      396
Laplace transform      395
Laplace — Beltrami operator      236
Laplacian      144
Lax pair      208 224
Levinson-type theorems      209
Linear injection      393
Linearly degenerate      383
Liquid crystals      384
Local convoluted semigroup      107
Local n-times integrated semigroup      107
Locally Lipschitz      282
Lumer — Phillips theorem      96
Lyapunov function      100
M-matrix      272
Magnetic field      235 239
Martin's Axiom      327
Mass-conserving solutions      279
Maximal characteristic      384
Maximum principle      6 269
Maxwell — Cattaneo relation      376
Maxwell's equations      150
Mild solution      3
Models for long waves      65
n-periodic solutions      258 259
N-soliton potentials      206
n-subharmonic bifurcation      257 259 260
n-times integrated C-cosine function      393
n-times integrated semigroup      131
Neumann boundary condition      214 242
Non-autonomous Cauchy problem      301
Non-linear perturbation      282
Non-linear scattering      337
Nonautonomous Cauchy problems      304
Nondegenerate      393 396
Nonlinear beam equation with external damping      187
Nonlinear elasticity      384
Nonlinear evolution equations      65
Nonplanar motion      189
Nonstrictly hyperbolic      383
Normal operator      287
Numerical range      148
One-dimensional diffusion processes      29
Optimal control problem      1
Optimal pair      5
p-independent      24
p-Laplacian      429
Parabolic equation      35
Payne — Polya — Weinberger bounds      237
Periodic bifurcations      257 259
Periodic orbits      411
Periodic potential      202
Persistence of excitation      154
Perturbation      405
Perturbation theorems      394
Petrowsky correct systems      148
Picard potentials      226
Polar decompositon      319
Positive $C_{0}$-semigroup      327
Positive operator      12 17
Positivity      22
Positivity-preserving contraction      280
Projection-valued measure      142
Pure fragmentation      279
quantum mechanics      238
Quarter-plane problems      67
Quasilinear reaction diffusion      407
R-admissible      30
Radon — Nikodym property      368
Reflection coefficients      206
Regularized functional calculi      141 148
Relaxation time      376
Representation formulas      394
Representation formulas for C-cosine functions      406
Resolvent      3 178
Reversibility of parabolic problems      146
Riemann invariants      378
Riesz — Dunford functional calculus      142 144
Scalar-type spectral operator      150 317
Scattering matrix      202
Scattering phase shift      209 211
Schrodinger equation      235 239
Schrodinger operators      201 238
Semiflow      409
Semilinear heat equation      419
Semilinear parabolic equations      181
Sequentially complete locally convex space      393
Short-range potential      207
Simply-supported beam      189
Solitary wave      11 13
Sound propagation in a viscous gas      149
Spectral bands      224
Spectral bound      21
Spectral decomposition      4
Spectral gaps      224 236
Spectral mapping theorem      96 312
Spectral measure      211 320
Spectral measures      320
Spectral projection      236
Spectral theorem      142
Spectral theorem for a normal operator      288
Spectral theory      287
Spectral theory in $D^{\infty}$ and $D'^{\infty}$      294
Stability      369
Stability of steady states      419
Stability theorem      313
Stabilization      133
Strict hyperbolicity      383
Strongly continuous evolution family      304
Strongly continuous group      142
Strongly continuous semigroup      144 302
Strongly coupled reaction-diffusion equations      407
Subcritical bifurcation      412
Subgenerator      396
Supercritical bifurcation      412
Symmetric hyperbolic systems      149
System identification      153
System of reaction diffusion equations      178
Temperature gradient      375
Time-dependent kernel      283
Trace formulas      201 202 204
Trace regularity      245
Traces      237
Translation group      328
Transmission coefficient      207
Trotter product formula      281
Truncated problem      279
Two-point boundary-value problems      64
Type $\omega$ operator      144
Ultradifferential polynomial of Gevrey class      108
Unbounded surfaces      337
Uniformly elliptic differential operators      24
Uniqueness of solitary waves      12
Variation of parameters formula      282
Vector valued measures      288
Vibrating elastic systems      133
Viscosity solutions      273
Volterra integrodifferential equation      2
von Karman plate      245
Wave equation      150
Weak* topology      291
Weakly coupled systems      269
Weierstrass' elliptic function      224
Weighted row sum condition      271
Well posedness      142 311
Well posedness principle      305
Weyl m-function      219
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