Roitberg Y. — Elliptic Boundary Value Problems In The Spaces Of Distributions :: Электронная библиотека попечительского совета мехмата МГУ

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Roitberg Y. — Elliptic Boundary Value Problems In The Spaces Of Distributions

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Название: Elliptic Boundary Value Problems In The Spaces Of Distributions

Автор: Roitberg Y.

Аннотация:

Summarizes the latest information on theorems of isomorphisms and their applications, dealing with the theory of solvability in generalized functions of general boundary-value problems for elliptic equations. Contains chapters on areas such as functional spaces, a theorem on complete collection of isomorphisms, elliptic problems with power singularities on right-hand sides, and elliptic boundary-value problems for systems of equations. Of interest to mathematicians whose work involves partial differential equations, functional analysis, operator theory, and the mathematics of mechanics

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 414

Добавлена в каталог: 10.12.2009

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Предметный указатель

$\Phi$ -operator      64
( T - S)-system (Douglis - Nirenberg structure)      316
Besov spaces, $B^{s, p}(G)$       59
Besov spaces, $B^{s, p}(\mathbb{R}^{n-1})$       29
Besov spaces, $B^{s, p}(\partialG)$       53
Dirichlet system of boundary expressions      145
Elliptic boundary-value problem      89
Elliptic boundary-value problem for Douglis - Nirenberg systems      323
Elliptic boundary-value problem with a parameter      295
Elliptic operator      85
Elliptic problemwith singular terms with a parameter      321
Fourier transform      20
Fredholm operator      64
Green's formula      156
Green's function      222
Imbedding theorem      59
Infinitely smoothing operator      35 49 129
Interpolational theorem      62
Local increase in the smoothness of a generalized solution      213 215 359
Lopatinsky - Shapiro condition      89
Lopatinsky condition      89
Method of complex interpolation      62
Model elliptic boundary-value problem      103
Noetherian operator      64
Normal system of boundary expressions      145
Operator of multiplication by a function in functional spaces      55
Operators,       70
Operators, $\Delta$       1
Operators, $\Lambda^{s, p}_{\pm}$       38

Operators, $\Theta^{+}$       41
Operators, L(D)      85 86 128
Properly elliptic operator      85
Regular elliptic problem      153
Regular elliptic problems with homogeneous boundary conditions      163
Regularizer of operator      64 132
Solvability of "perturbed" elliptic boundary-value problems with a parameter      320
Spaces of Bessel potentials, $H^{s, p}(G)$       50
Spaces of Bessel potentials, $H^{s, p}(\mathbb{R}^{n})$       24
Spaces of Bessel potentials, $H^{s, p}(\mathbb{R}^{n}_{\pm})$       41 47
Spaces of Bessel potentials, $H^{s, r, p}(\mathbb{R}^{n})$       27
Spaces of Bessel potentials, $H^{s, r, p}(\mathbb{R}^{n}_{\pm})$       37 44
Spaces of Bessel potentials, $H^{s, r, p}_{\pm} = H^{s, r, p}(\mathbb{R}^{n})$       37
Spaces of Bessel potentials,       20
Spaces of Bessel potentials,       21
Spaces of Bessel potentials, $S\widetilde{H}^{s, p, (r)}(\Omega)$       71
Spaces of Bessel potentials, $W^{s, p}(G)$       59
Spaces, $C^{s}(\Omega)$       19
Spaces, $C^{s}(\overline{\Omega})$       20
Spaces, $C^{s}_{0}(\Omega)$       20
Spaces, $C^{s}_{0}(\overline{\Omega})$       20
Spaces, $\widetilde{H}^{s, p, (r)}(\Omega)$       65 69 75
Strong generalized solution      160 172
Theorem on complete collection of isomorphisms      96 317
Theorem on complete collection of isomorphisms for elliptic boundary-value theorem on complete collection of problems with a parameter      3 13
Theorem on complete collection of isomorphisms for model problems      314
Theorem on complete collection of isomorphisms for the model problem      99 325
Theorem on multiplicators in $L_{p}$       25
Theorem on traces of generalized solutions on the boundary of a domain      173 182
Weak generalized solution      167 172

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