Hoermander L. — The Analysis of Linear Partial Differential Operators II: Differntial Operators with Constant Coefficients :: Электронная библиотека попечительского совета мехмата МГУ

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Hoermander L. — The Analysis of Linear Partial Differential Operators II: Differntial Operators with Constant Coefficients

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Название: The Analysis of Linear Partial Differential Operators II: Differntial Operators with Constant Coefficients

Автор: Hoermander L.

Аннотация:

The present Vol. II is mainly devoted to operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem. One chapter is devoted to the spectral theory of short range perturbations of operators with constant coefficients, and another presents Fourier-Laplace representations of solutions of homogeneous differential equations with constant coefficients. The last chapter is a study of the closely related subject of convolution operators.

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

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Год издания: 2005

Количество страниц: 392

Добавлена в каталог: 09.12.2009

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Предметный указатель

      221
$B^{*}$       227
$B^{*}_{c}$       228
$B^{*}_{P_{0}}$       243
$B_{c}$       228
$B_{p.k}$       7
$d_{j}$       10
$F_{\pm}$       251
$H^{loc}_{(s)}$       46
$L^{2}_{s}$       229
$L^{2}_{\varphi}$       271
      10
      18
$Pol^{o}(m, n)$       18
      230
      237
$\bar{\partial}$       274
$\dot{B}^{*}$       228
$\Gamma(P, N)$       114
$\Gamma^{(\rho)}$       91
$\gamma^{(\rho)}_{0}$       137
$\Lambda'(P)$       19
$\Lambda(P)$       19
$\ll, \gg$       34
$\mathbb{C}^{\pm}$       235
$\mathbb{R}^{n}_{+}$       307
$\mathcal{F}^{c}$       14
$\mathcal{F}^{loc}$       13
$\mathcal{K}$       4
$\mathcal{N}$       321
$\mathcal{N}(u_{1},...,u_{k})$       321
$\partial/\partial\bar{z}_{j}$       271
$\prec, \succ$       30
$\sigma_{p}(V)$       73
$\tilde{P}'(\breve{\varsigma})$       65
$\tilde{P}(\breve{\varsigma})$       5
$\tilde{P}(\breve{\varsigma}, t)$       32
$\tilde{P}_{N}(\breve{\varsigma})$       201
$\tilde{P}_{V}(\breve{\varsigma}, t)$       73
$| |_{p.k}$       7
Adjoint      183
Caustic set      106
Coherent Cauchy data      137
Constant Strength      182
Convexity for supports      41:343
Convexity for supports, singular supports      45:346
Critical set, value      106 225 237
Dirichlet problem      306
Discriminant      362
Domination      34
Equally strong      30
Evolution operator      160

f      Fourier transformation
Fourier transform, distorted      257
Gevrey class      137
Green’s function      308
Herglotz-Petrowsky formula      129
Hyperbolic      112 357
Hyperbolic, mixed problem      174
Hypoelliptic      61 193 355
Incoming function      241
Inductive limit      279
Invertible distribution      330
Lacuna      133
Local space      13
Localization at infinity      21:194
Lopatinski determinant      165
Lopatinski determinant, matrix      167
Microhypoelliptic      193
Minimum principle      51
Mittag-Leffler procedure      44
Mixed problem      162
Morse — Sard theorem      106
Outgoing function      241
Partially hypoelliptic      71
Petrowsky condition      132 143
Petrowsky condition, hyperbolic      118
Petrowsky condition, lacuna      133
Poisson kernel      305 309
Principal symbol, mixed problem Principal type      38
Puiseux series      364
Regular fundamental solution      18
Resolvent      225
Resolvent, equation      243
Scattering matrix      261
Scattering matrix, operator      250
Semi-algebraic      364
Semi-elliptic      67
Semi-local space      13
Short range perturbation      243
Simply characteristic      238
Slowly decreasing      330
Spacelike surface      124 98
Stieltjes — Vitali theorem      64
Strictly hyperbolic      118
Stronger operator      30
Supporting function      315
Supports, theorem of      319
Symmetric perturbation      347
Tarski — Seidenberg theorem      36
Temperate weight function      4
Very slowly decreasing      352
Wave operator      96 248
Weaker operator      30

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