Elsevier Partial Differential Equations VIII Overdetermined Systems Dissipative Singular Schrodinger Operator Index Theory.pdf

文档介绍：Partial Differential
Equations VIII
Overdetermined Systems
Dissipative Singular Schrodinger Operator
Index Theory
Springer
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Contents
I. Linear Overdetermined Systems
of Partial Differential Equations.
Initial and Initial-BoundaryValue Problems
P. I. Dudnikov, S. N. Samborski
1
II. Spectral Analysis of a
Dissipative Singular Schriidinger Operator
in Terms of a Functional Model
B. S. Pavlov
87
III. Index Theorems
. Fedosov
155
Author Index
253
Subject Index
255
I . Linear Overdetermined Systems
of Partial Differential Equations .
Initial and Initial-Boundary
Value Problems
P . I . Dudnikov and S . N . Samborski
Translated from the Russian
by C . Constanda
Contents
Introduction ................................................... 3
Chapter 1. Complexes Associated with Differential Operators ........ 9
$1. Jets and Differential Operators .............................. 9
$2. Complexes, Equivalence of Morphisms and
Compatibility Morphisms ................................... 11
$3. Differential Operators with Variable Coefficients ............... 16
. Regularity Conditions .................................. 16
. Formally plexes ............................. 17
. Formal Integrability ................................... 20
. Involutiveness in the Sense of Spencer .................... 22
. Involutiveness in the Sense of Kuranishi .................. 26
. Commutation Relations patibility Operators ...... 26
. The Real-Analytic Case ................................ 34
. ments .................................. 35
$4. Differential Boundary Operators ............................. 37
. Compatibility Operators ................................ 37
. The Real-Analytic Case ........