Dauge M. — Elliptic Boundary Value Problems On Corner Domains :: Электронная библиотека попечительского совета мехмата МГУ

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Dauge M. — Elliptic Boundary Value Problems On Corner Domains

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Название: Elliptic Boundary Value Problems On Corner Domains

Автор: Dauge M.

Аннотация:

Many physical phenomena are described by elliptic boundary value problems : let us quote vibrating membranes, elasticity, electrostatics, hydrodynamics for instance. Natural domains are often non-smooth ones or they may be "small perturbations" of such non-regular domains. That is why many people are interested in domains with singularities on their boundaries.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1988

Количество страниц: 261

Добавлена в каталог: 28.03.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$A(\Omega)$       21
$A(\Omega,\partial^{d,i}\Omega)$       187
$a^{(s)}$       175
$A^{(s)}u$       194
$A_{0}(\Omega)$       21
$a_{x}$       45
$C^{\infty}(\Omega^{\mathbf{R}})$       21 26
$C_{x}$       21
$d_{\Omega}$       20
$E^{s}_{0}(\Gamma)$       215
$E^{\lambda}(\Gamma,L)$       31
$g^{\lambda}(\Gamma,L)$       31
$H^{m}_{0}(C)$       100
$H^{s,t}(R^{\ell}\times\Gamma)$       242
$H^{s}(\Omega)$       26
$H^{s}(\Omega,\rho)$       224
$H^{s}_{*}(\Gamma)$       105 217
$H^{s}_{0}(\Gamma)$       215
$H^{s}_{\gamma}(\Gamma)$       215
$H_{\eta}^{s}(\mathbb{R}\times\Omega)$       215
$I(\Gamma)$       38
$K^{\lambda}(\Gamma,L)$       31
$L_{X}$       29
$M^{d,i}$       186
$n_{x}$       21
$P^{\lambda}(\Gamma)$       30
$Q^{\lambda}(\Gamma)$       30
$q_{\sigma}[u]$       215
$R_{X}$       42
$sp(\mathscr{L})$       34
$S^{\lambda,s}(\Gamma)$       30
$S^{\lambda}(\Gamma)$       30
$T^{\lambda}(\Gamma)$       30
$V^{m-s}$       175
$v_{\rho}$       53
$Z^{\lambda,\nu}(c^{\lambda,\nu})$       135
$\Gamma_{x}$       21
$\mathcal{C}_{n}$       17
$\mathcal{O}_{n}$       17
$\mathcal{S}^{s,+}$       175
$\mathcal{S}^{s,\pm}$       194
$\mathcal{S}_{m}$       42
$\mathcal{T}^{s,+}$       175
$\mathcal{T}^{s,\pm}$       194
$\mathscr{A}(\Omega)$       23
$\mathscr{A}(\Omega,\partial^{d,i}\Omega)$       187
$\mathscr{E}^{s}$       176
$\mathscr{E}^{s}(\Omega)$       194
$\mathscr{F}_{m}$       44
$\mathscr{L}_{x}$       29
$\mathscr{Z}(\lambda)$       108
$\Omega^{*}$       16
$\Omega^{\mathbf{R}}:=\Omega\cup\partial^{'}\Omega$       21
$\Omega_{X}$       21
$\overrightarrow{m}$       51
$\partial\Omega$       16
$\partial^{'}\Omega$       20
$\partial^{d,i}\Omega$       186
$\Phi(y,z)$       129
$\sigma^{\lambda,\nu}_{x,p}$       43
$\sigma^{\lambda,\nu}_{x}$       43
Admissible set of faces      186
Algebraic set      248
Associated cone      20
B(x,r)      16
Canonical set of faces      186
Chain of sections      22
Coercive      51
Cone      17
Conical cavity      9
Conical point      9
Convex polyhedron      160 166
Crack      16 38
cube      161
Curved edge      169
Cut      23
Diffeomorphism invariance      31

Domain with 2-codimensional edges      22
Domain with conical singularities      22
Domain with edges      22
EDGE      11 128
Eigenvalue      14
Eigenvector      163
Elliptic system      52
Fredholm      40
Garding's inequality      52
Gradient form      191
Green's formula      189
hole      16
Index operator      40
Injective modulo polynomials      10 30 54 195 200
Irreductibe      248
Ker A      3
Kernel      40
Lame's system      53
Laplacian form      191
Lipschitz domain      16
Local coordinates      24
Locally connex up to the boundary      16
Manifold with corners      22
Mellin transform      9 226
Model operator      102
Multi-degree      51
Noetherian operator      40
Non degenerate cone      20
Normal system      188
octahedron      161
Order-s estimates      61
Peetre's lemma      41
Piecewise smooth boundary      18
Plane crack      105
Polyhedral cone      22
Polyhedral domain      22 186
Polyhedron      13 22 164
Principal part      29 51
Pseudo-differential operator of Mellin type      147
Quasi-Lipschitz      16
Quasi-smooth      16
RANGE      40
Rectangular parallelipiped      166
Reduced cone      20
Regular cone      9 22
Regular domain      21
Regular element      21
Revolution cone      156
Rg A      3
Screen      16 19
Section      17
Semi-Fredholm      40
Singular chain      22
Singular element      21
Singular function      43
Slit      16
Smooth domain      16
Smooth manifold      186
Smoothing operator      147
Spectral condition      46
Spectrum      34
Split operators      29 53
Splitting      141
Stable      174 190
Stokes' system      53
Strongly coercive      51
Strongly elliptic      40 51
Strongly V-coercive      173
sub-sections      48
Tangential regularity      141
tetrahedron      161
Transversal      174 190
Unfolded boundary      20
Uniform order-s estimates      64
Vertex      21
[0,s]-regular in x on      63
[0,s]-regular on      33
[s,s']-regular      47

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