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Runst T. — Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations
Runst T. — Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations



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Название: Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations

Автор: Runst T.

Язык: en

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: de Gruyter

Год издания: 1996

Количество страниц: 560

Добавлена в каталог: 31.10.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Asymptote      432 439
atom      66
Bifurcation system      426 427
Boundary value problem, adjoint      131
Boundary value problem, regular elliptic      99
Boundary value problem, self-adjoint      132
Boundary value problem, semilinear elliptic      414
Codimension      127
Cokernel      129
Condition, Caratheodory      264
Condition, Landesman — Lazer      430 440
Condition, Michlin — Hoermander      23
Contraction      75
Core      450
de la Vallee Poussin mean      143
Degree, Brouwer      397
Degree, Leray — Schauder      399 409 513
Degree, Smale      508
Degree, topological      400 408
Derivative of composite functions      262 386
Diffeomorphism      18 73
Differential dimension      31
Distribution, Dirac      15 34 58 197 246
Distribution, ion-negative      137
Distribution, principal value      58
Distribution, real-valued      290
Distribution, regular      33
Distribution, singular      34
Distribution, tempered      6
Embedding, compact      14 82
Embedding, constant differential dimension      31
Embedding, constant smoothness      30
Embedding, continuous      14
Embedding, elementary      29
Embedding, set-theoretical      14
Fatou property      15
Fixed point isolated      409
Fourier multipliers      22
Fourier transform      6
Fredholm Alternative, nonlinear      428 431 436
Function space      1
Function, B-splines      48
Function, Caratheodory      264
Function, characteristic      49
Function, characteristic, cube      209
Function, characteristic, half-space      208
Function, characteristic, Sobolev mollification      55
Function, local singularity      43
Function, m-admissible      278
Half-space      72
Hausdorff measure      52
Hoermander classes      385
Homotopy      398
Homotopy, compact      400 409
Image      129
Index, fixed point      409 411 517
Index, Fredholm operator      129
Inequality, Gagliardo — Nirenberg      279
Inequality, Hardy      351
Inequality, Hoelder      239
Inequality, Moser      258
Inequality, Nikol'skij      32
Interpolation theory      85
Interpolation, complex method      86
Interpolation, couple      87
Interpolation, inequalities      87
Interpolation, nonlinear operators      87
Interpolation, property      86
Interpolation, real method      86 362
Interpolation, ±-method      87
K-functional      89
Kernel      129
Kernel, of type k      112
Lemma, alternative      425 426
Lemma, local representation      473
Lifting property      18
Localization property      69
Manifold, $C^{k}$      472
Manifold, codimension      472
Map, proper      399 471 487
Map, suitable      424
Map, transversal      479
Maximal function      225
Maximal function, Hardy — Littlewood      21
Maximal function, Peetre — Fefferman — Stein      22
Maximum principle      137 441 456
Means of differences      84
Minkowski content      50
Minkowski dimension, upper      49
Mollification      305
Multiplication algebra      221
Nikol'skij representation      58
Normal form, cusp point      485
Normal form, fold point      482
Operator, analytic      262
Operator, bounded      261 413 414 428
Operator, coercive      393 487
Operator, completely continuous      262 399
Operator, composition      267
Operator, composition, analycity      382
Operator, composition, continuity      374
Operator, composition, local Lipschitz continuity      372
Operator, composition, Taylor formula      381
Operator, compositon, Frechet-differentiability      378
Operator, continuous      261
Operator, dilation      15
Operator, extension      76
Operator, formal adjoint      131
Operator, Frechet-differentiable      262
Operator, Fredholm      129 134
Operator, Fredholm, nonlinear      473
Operator, identity      18
Operator, Laplace      10 18
Operator, lifting      76
Operator, Lipschitz continuous      261
Operator, locally Lipschitz continuous      262
Operator, monotone      393 457
Operator, Nemytskij      264 383
Operator, Nemytskij, boundedness      387
Operator, Nemytskij, continuity      389
Operator, nonlinear      87 261
Operator, of finite rank      129
Operator, properly elliptic      100
Operator, pseudodifferential      385
Operator, restriction      75
Operator, right inverse      133 136
Operator, sublinear      413 416 436
Operator, superlinear      413 419
Operator, trace      75
Operator, uniform continuous      261
Operator, with linear growth      413 418 439
Paraproduct      165
Perimeter      52
Perimeter, locally finite      215
Point, 1 — 1-transverse      483
Point, 1-transverse      481
Point, critical      471
Point, cusp      484 506 509 512
Point, fold      482 506 507
Point, regular      471
Point, singular      471 474 505
Poisson integral      113
Product of distributions      144 149 164 256 257
Quasi-norm      5
Resolution of unity      8
Retraction      75
Singular set      471 506
Space, admissible      400 412 451
Space, anisotropic      10
Space, Banach      9
Space, Besov      8 13
Space, Bessel-potential      13
Space, BMO      13
Space, bounded mean oscillation      228
Space, dual      19 84
Space, dual rich      126 424 469 472 473 489
Space, factor      125 472
Space, Hardy      13
Space, Hoelder      12
Space, homogeneous      94
Space, John — Nirenberg      227
Space, Lebesgue      11
Space, Lipschitz      13
Space, mixed dominated smoothness      10
Space, periodic      10
Space, positive cone      284 361
Space, quasi-Banach      5 9
Space, real-valued part      291
Space, Schwartz      6
Space, Slobodeckij      12
Space, Sobolev      12
Space, Sobolev, fractional order      13
Space, subcritical      267
Space, supercritical      267
Space, Triebel — Lizorkin      8
Space, weighted      10
Space, Zygmund      12
Spectral result      409
Subsolution      453 513
Supersolution      453 513
System, complemented      101
System, normal      101
System, regular      102
System, regular elliptic      99
Theorem, division, infinite-dimensional      477
Theorem, division, Mather      476
Theorem, division, Weierstrass      476
Theorem, Fubini-type      70
Theorem, implicit function      471
Theorem, inverse image      480
Theorem, Kazdan — Warner      452
Theorem, Liouville      118
Theorem, Paley — Wiener — Schwartz      80
Theorem, preparation, Malgrange      476 478
Theorem, preparation, Weierstrass      476
Theorem, Sard      489
Theorem, Sard — Smale      489
Wavelets      62
Withney type decomposition      217
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