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Prilepko A.I., Orlovsky D.G., Vasin I.A. — Methods for Solving Inverse Problems in Mathematical Physics
Prilepko A.I., Orlovsky D.G., Vasin I.A. — Methods for Solving Inverse Problems in Mathematical Physics

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Название: Methods for Solving Inverse Problems in Mathematical Physics

Авторы: Prilepko A.I., Orlovsky D.G., Vasin I.A.

Язык: en

Рубрика: Математика/Математическая Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 723

Добавлена в каталог: 24.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abstract counterpart      311
Admissible input data      490
Basis, algebraic      300
Basis, Hamel      300
Basis, orthonormal      303 508
Basis, Shauder      302
Basis, topological      302
Birkhoff-Tarsky fixed point, principle      25
Body, contact      171
Body, noncontact      172
Bolzman equation, linearized      615
Bolzman equation, nonhomogeneous      615
Bound, greatest lower      514
Bound, least upper      514
Canonical form      72
Cauchy data      106
Cauchy problem      342 350 355 442 447 478
Cauchy problem, abstract      329 586 592
Cauchy problem, homogeneous      355
Cauchy problem, nonlinear      336
Cauchy problem, uniformly well-posed      330 339 343 356 359
Cauchy sequence      301
Characteristic      76
Characteristic determinant      369
Closed two-sided ideal      307
Collision frequency      615
Completion      303
Cone      514
Contraction      310
Contraction mapping principle      271 311
Current density      637
Cyclic subspace      504
Deformation vector      592
density      126
Density of the external force      592
Density of the extraneous current      637
Density of the neutron distribution      608
Derivative, generalized      3
Derivative, partial      337
Differential scattering cross-section      614
Dirichlet boundary condition      591
Dirichlet problem      7 367
Displacement vector      591
Distance      162 301
distribution      330 615
Domain, absolutely projectively-outword-ambient      161
Domain, absolutely star-ambient      161
Eigenfunction      74
Elastic body      591
Elasticity coefficient      592
Electric charge distribution      638
Electric conductance      637
Electric field strength      637
Elliptic differential equation      365
Emission of neutrons      608
Equation, autonomous      346
Equation, Bolzman      614
Equation, first kind      308
Equation, homogeneous      330
Equation, hyperbolic      106 584
Equation, incompressibility      205
Equation, integro-functional      94
Equation, Laplace      125
Equation, Maxwell      636
Equation, nonhomogeneous      334
Equation, parabolic      10
Equation, Parseval      39
Equation, quasilinear      601
Equation, resolvent      617
Equation, second kind      309
Equation, semilinear      449
Equation, transport      607
Euler gamma-function      125
Evolution family      357
Explicit expression for the semigroup      351
Exponential growth      73
Externally contact sets      174
Fission      608
Flow, three-dimensional      206
Flow, two-dimensional      207
Formula, Cauchy — Hadamard      328
Formula, Newton — Leibniz      49 318
Formula, Ostrogradsky      582
Fourier coefficient      38 303
Fourier expansion      308
Fractional power      599
Frechet differentiable      337 353— 354
Frechet differentiable, Green      370
Frechet differentiable, Lipschitz      319
Frechet differentiable, regular      330
Fredholm alternative      43
Fredholm solvability      45
Fredholm-type property      220
Function, abstract      376
Function, analytic      328
Function, cosine      343 524
Function, sine      344 524
Function, stable      360
Functional, linear      306
Functional, positive      514
Generator of the cosine function      345
Green formula, first      124
Green formula, second      124
Green formula, third      125
Group property      366
Holder condition      319
Holder constant      4
Hypermatrix      99
Image of linear operator      304
Induction, electric      637
Induction, magnetic      637
Inequality, Cauchy      2
Inequality, Cauchy — Schwartz      2 302
Inequality, Hamack      24
Inequality, Holder      2 606
Inequality, Poincare — Friedrichs      6
Inequality, Young      2
Inner product      302
Integral of collisions      614
Integral of collisions, linearized      615
Invariant of collisions      616
Jordan’s decomposition      514
Kernel      304 322
Kronecker’s delta      88
Laplace transform      67
Lattice, Banach      514
Lattice, conditionally complete      25
Lattice, Hilbert      598
Law, Hook’s      591
Law, Ohm’s      637
Law, sreciprocity      617
linear combination      300
Linear medium      637
Linear span      300
Magnetic field strength      637
Maxwell distribution      614
Measure, Dirac’s      503
Measure, spectral      504
Method, Cramer’s      369
Method, Fourier      38 66 308
Multiindex      3
Navier-Stokes equation, linearized      205
Navier-Stokes equation, nonlinear      206 230 254
Neumann problem      367
Neumann’s boundary condition      590
Norm      301
Norm, graph      317 493
Norm, linear operator      304
Norm, matrix      75
Operator function, differentiable      320
Operator function, strongly continuous      319
Operator, adjoint      306
Operator, anti — Hermitian      509
Operator, bounded      304
Operator, compact      307
Operator, completely continuous      307
Operator, continuous      304
Operator, contracting      63
Operator, elliptic differential      7
Operator, evolution      356 442 459 478
Operator, identity      305
Operator, integration      80
Operator, inverse      305
Operator, invertible      305
Operator, isotonic      25 57
Operator, Laplace      37 376
Operator, linear      304
Operator, nonlinear      310
Operator, positive      515
Operator, reflection      616
Operator, self-adjoint      307
Operator, Stokes      217
Operator, Sturm — Liouville      38
Operator, substitution      336
Operator, uniformly elliptic      7
Order segment      25
Orthogonal complement      303
Orthogonal decomposition      303
Orthogonal projector      303
Overdetermination, final      34 54 210 230 379 490 596
Overdetermination, integral      60 221 226 255 268 282 583 587 594 608 641
Overdetermination, pointwise      69 581
Overdetermination, singular      416 449
Perfect conductor      637
Permeability, dielectric      637
Permeability, magnetic      637
Potential, magnetic      171
Potential, power      623
Potential, simple layer      126
Potential, volume mass      126
Principle of uniform boundedness      305
Problem in variations      391
Radius of convergence      328
Regime of oscillations      592
Relation, asymptotic      445
Relation, energy      215
Relation, Gauss — Ostrogradsky      124
Relation, partial ordering      514
Rellich      7
Resolvent      305 332 335 363
Resolvent set      305
Riesz      306
Semigroup generator      332
Semigroup, analytic      340
Semigroup, compact      499 597
Semigroup, contraction      495
Semigroup, exponentially decreasing      495
Semigroup, positive      515 598
Semigroup, strongly continuous      331
Series, Fourier      39 303
Series, Neumann      79 310
Smoothing effect      379 382 440 459 477 587
Sobolev      3 4
Sobolev, vector      299
Sobolev’s embedding theory      6
Solution, classical      339 366
Solution, continuous      382 395
Solution, explicit      66
Solution, fundamental      125
Solution, generalized      20 28 34 60
Solution, strong      330 339 341—342 357 359 382
Solution, weak      11 330 339 342 357 361
Space, Banach      3 4 301
Space, dual      306
Space, Euclidean      302
Space, Hilbert      3 303
Space, Holder      4
Space, normal vector      304
Space, normed      300
Spectral decomposition      316
Spectral radius      306 370
Spectral resolution      502
Spectral type      504
Spectrum      305 314
Spectrum, continuous      306
Spectrum, discrete      508
Spectrum, point      306
Spectrum, residual      306
Spectrum, simple      504
Square root      365
Stress tensor      592
subspace      300
Successive approximation      310 435
Supersolution      22
Symmetric difference      162
System, first order      72
System, t-hyperbolic      88
System, x-hyperbolic      72
Theorem, Banach on inverse      314
Theorem, Banach — Steinhaus      304
Theorem, Birkhoff — Tarsky      25
Theorem, closed graph      314
Theorem, Hilbert — Schmidt      308
Theorem, Hille-Phillips-Y osida-Miyadera      331
Theorem, open mapping      314
Thermodynamic equilibrium      617
Two-point inverse problem      489 501
Type, hyperbolic      358 477
Type, parabolic      361 439
Volterra equation, first kind      69 321
Volterra equation, nonlinear      325
Volterra equation, second kind      69 321 353 386
Weak principle of maximum      9
wronskian      117
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