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Авторизация |
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Поиск по указателям |
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Beyer H.R. — Beyond Partial Differential Equations: On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations |
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Предметный указатель |
Boundary condition, Engquist — Majda 78 127
Boundary condition, Sommerfeld 78 124
Chains 146
Chains, finitely generated 148
Chains, juxtapositions 147
Commutator estimates 186 199 246
Commutator function 9
Conventions 1
Couette flow 74
Difference method 78
Equation, abstract evolution, linear 171
Equation, abstract evolution, quasilinear 221
Equation, Burgers 235
Equation, Dirac 103
Equation, Klein — Gordon in Minkowski space 11
Equation, Klein — Gordon on the real line 10
Equation, Maxwell’s equations 132
Equation, wave 8 84
Evolution operator 149
Evolution operator, associated differential equations 150
Evolution operator, finitely generated 151
Evolution operator, for the linear evolution equation 165
Evolution operator, uniqueness 150
Exponential function 35
Group, strongly continuous 63
Group, strongly continuous, associated differential equation 63
Group, strongly continuous, infinitesimal generator 63 65
Inequalities, elementary 235
Inequalities, Peetre’s 265
Inequalities, Sobolev 236
Inequalities, Sobolev’s 265
Infinitesimal generators 42
Infinitesimal generators, bounded 42
Infinitesimal generators, bounded perturbations 61
Infinitesimal generators, characterization 51
Infinitesimal generators, exponential formula 155
Infinitesimal generators, fractional powers 180
Infinitesimal generators, homogeneous IVP 42
Infinitesimal generators, inhomogeneous IVP 66 67
Infinitesimal generators, logarithm 180
Infinitesimal generators, maximality 42
Infinitesimal generators, resolvent estimates 42
Infinitesimal generators, resolvent representation 42
Infinitesimal generators, spectrum property 42
Infinitesimal generators, uniqueness 42
Integration, Bochner 30
Integration, Pettis 26
Integration, weak 26
Integration, weak, existence 26 27
Integration, weak, Fubini’s theorem 30
Integration, weak, properties 27
Integration, weak, substitution rule 34
Intertwining relation 112
Intertwining relation, equivalent conditions 114
Intertwining relation, sufficient conditions 115
kernels 137
Kernels, Convolution 137
Kernels, Volterra 137
Kernels, Volterra equation 137
Kernels, Volterra, approximation 145
Kernels, Volterra, distance 143
Kreiss condition 78
Linear operators 14
Linear operators, 1st resolvent formula 24
Linear operators, 2nd resolvent formula 24
Linear operators, accretive 54
Linear operators, accretive, characterization 55
Linear operators, accretive, closability 56
Linear operators, adjoint 17
Linear operators, closable 14
| Linear operators, closed 14
Linear operators, core 14
Linear operators, densely-defined 14
Linear operators, essentially self-adjoint 17
Linear operators, extension 14
Linear operators, extension, weak vs strong 100
Linear operators, graph 14
Linear operators, mollifiers 98
Linear operators, non-closable 16
Linear operators, quasi-accretive 54
Linear operators, quasi-accretive, closability 56
Linear operators, resolvent 24
Linear operators, resolvent set 24
Linear operators, self-adjoint 17
Linear operators, self-adjoint, maximality 17
Linear operators, spectrum 24
Linear operators, symmetric 17
Linear operators, unbounded 16
Nonexpansive homomorphisms properties 117
Numerics of PDEs 78
Quantum system, conservation of probability 7
Quantum system, example 7
Quantum system, Hamilton operator 6
Quantum system, measurement 5
Quantum system, measurement, probabilities 5
Quantum system, observables 5
Quantum system, observables, expectation value 6
Quantum system, observables, spectral measure 6
Quantum system, observables, spectrum 5
Quantum system, quantization of a classical system 5
Quantum system, representation space 5
Quantum system, Schrodinger equation 7
Quantum system, states 5
Quantum system, superposition principle 6
Quantum system, time evolution, unitary 6
Regularity 105
Scalar field in black hole background 178
Scalar field in Minkowski space 11
Scalar field on the real line 10 78 123 127
Semigroup, strongly continuous 42
Semigroup, strongly continuous, approximation 54
Semigroup, strongly continuous, associated differential equation 42
Semigroup, strongly continuous, contraction 56
Semigroup, strongly continuous, infinitesimal generator 42
Semigroup, strongly continuous, integral representation 59
Semigroup, strongly continuous, quasi-contraction 56
Semigroup, uniformly continuous 42
Spaces, admissible 109
Spaces, admissible, sufficient condition 112
Spaces, Banach direct sum 13
Spaces, Hilbert direct sum 13
Spaces, Sobolev 98
Stable families of generators 155
Stable families of generators, bounded perturbations 162
Stable families of generators, criterion 160
Stable families of generators, equivalent conditions 158
Systems, Hermitian hyperbolic, linear autonomous 103
Systems, Hermitian hyperbolic, linear non-autonomous 199
Systems, Hermitian hyperbolic, quasi-linear 246
Tangent functionals, normalized 54
Theorem, Banach fixed point 215
Theorem, Banach fixed point, variation 216
Theorem, closed graph 14
Theorem, Closed graph, application 17
Theorem, E. Noether 113
Theorem, Hellinger — Toeplitz 17
Theorem, Hille — Yosida — Phillips 51
Theorem, Inverse mapping 14
Theorem, Lumer — Phillips 56
Theorem, Mazur 108
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