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Pazy A. — Semigroups of linear operators ans applications to PDE
Pazy A. — Semigroups of linear operators ans applications to PDE

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Название: Semigroups of linear operators ans applications to PDE

Автор: Pazy A.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1983

Количество страниц: 285

Добавлена в каталог: 24.07.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$C_{0}$-group      22
$C_{0}$-semigroup      4
A-admissible subspace      122
A-priori estimates      212
Adjoint operator      38
Adjoint resolvent      38
Adjoint semigroup      39
Adjoint strongly elliptic operator      212
Alternating directions      93
Analytic semigroup      60
Backward difference approximation      93
Cauchy problem, linear autonomous      100
Cauchy problem, linear nonautonomous      105 126 134
Cauchy problem, quasilinear      200
Cauchy problem, semilinear      183
Compact semigroup      48
Contraction semigroup      8
Convergence of infinitesimal generators      88
Convergence of semigroups      85
Convergence of solutions as $t\to\infty$      119 174
Decay of evolution systems as $t\to\infty$      173
Decay of semigroups as $t\to\infty$      116
Differentiable semigroup      51
Dissipative operator      13
Distribution semigroup      252
Domain of infinitesimal generator      1 5
Dual semigroup      38
Duality set      13
Embedding of semigroup in group      24
Equation, heat      98 234
Equation, higher order      253
Equation, Korteweg-de Vries      247 252
Equation, parabolic      225 261
Equation, Scroedinger      238 241
Equicontinuous semigroup      252
Evolution system      129
Exponential formula      21 32 33 92
Fractional powers of operator      72
Fractional steps      93
Gagliardo — Nirenberg's inequality      242
Garding's inequality      209
Graph norm      190
Group      22 see
Heat equation, linear      98
Heat equation, nonlinear      234
Hille — Yosida theorem      8
Hoelder continuous function      112
Hyperbolic evolution system      135
Hyperbolic initial value problem      105 134
Implicit difference approximation      35
Inequality, Gagliardo — Nirenberg's      242
Inequality, Garding's      209
Inequality, Hausdorf — Young's      224 262
Inequality, Kallman — Rota's      7 253
Inequality, Landau's      8
Infinitesimal generator      1
Initial value problem, higher order      253
Initial value problem, linear autonomous      100
Initial value problem, linear nonautonomous      105 126 134
Initial value problem, non well posed      253
Initial value problem, quasilinear      200
Initial value problem, semilinear      183
Invariant subspace      121
Kallman — Rota's inequality      7 254
Korteweg — de Vries equation      247
Landau's inequality      8
Laplace transform      25
Locally Lipschitz function      185
Lumer — Phillips theorem      14
m-dissipative operator      81
Mild solution      106 146 168 184
Null space      36
Numerical range      12
Operator, adjoint      38
Operator, dissipative      13
Operator, m-dissipative      81
Operator, part of      39
Operator, self adjoint      41
Operator, strongly elliptic      209
Operator, symmetric      41
Operator, unitary      41
Parabolic evolution system      150
Parabolic initial value problem      110 167 225
Part of operator in subspace      39
Perturbations by bounded operators      76
Perturbations by Lipschitz operators      184
Perturbations of generators of analytic semigroups      80
Perturbations of generators of contraction semigroups      81
Perturbations of stable families of generators      132
Positive semigroups      256
Post — Widder inversion formula      35
Pseudo resolvent      36
Quasilinear initial value problem      200
r-convergence      86
Renorming      17 18
Representation of semigroups      90
Resolvent identity      20
Resolvent operator      8
Resolvent set      8
Scroedinger equation, linear      223
Scroedinger equation, nonlinear      230
Self adjoint operator      41
Semigroup, $C_{0}$      4
Semigroup, adjoint      39
Semigroup, analytic      60
Semigroup, bounded linear operators      1
Semigroup, compact      48
Semigroup, contractions      8
Semigroup, differentiable      51
Semigroup, distributions      252
Semigroup, equicontinuous      252
Semigroup, nonlinear      253
Semigroup, positive      256
Semigroup, strongly continuous      4 see
Semigroup, strongly measurable      255
Semigroup, uniformly bounded      8
Semigroup, uniformly continuous      1
Semigroup, weakly continuous      44 255
Semilinear initial value problem      183
Sobolev's imbedding theorem      208 222
Solution of initial value problem, classical      100 105 139
Solution of initial value problem, generalized      36 228
Solution of initial value problem, mild      106 146 168 184
Solution of initial value problem, strong      109
Solution of initial value problem, weak      258
Solution of initial value problem, Y-valued      140
Spectrum of $C_{0}$ semigroup      45
Spectrum of compact semigroup      51
Spectrum of differentiable semigroup      53
Spectrum, continuous      46
Spectrum, point      45
Spectrum, residual      46
Stable family of operators      130 200
Strong solution      109
Strongly elliptic operator      209
Strongly measurable semigroup      255
Taylor's formula for continuous functions      33
Theorem, Hille — Yosida      8 19
Theorem, Lumer — Phillips      14
Theorem, Sobolev      208 222
Theorem, Trotter — Kato      87
Uniformly bounded semigroups      8
Uniformly continuous semigroups      1 25 50
Uniqueness, evolution systems      135 145 160
Uniqueness, infinitesimal generator      3 6
Uniqueness, solution      101 106
Uniqueness, Y-valued solution      140 146
Unitary group      41
Unitary operator      41
Weak infinitesimal generator      42 43
Weak solution      258
Weakly continuous semigroups      44 255
Y-valued solution      140
Yosida approximation      9
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