Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs

Consider a general linear Hamiltonian system

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Bibliographic Details
Main Authors: Lin, Zhiwu, Zeng, Chongchun
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2022
Edition:1
Series:Memoirs of the American Mathematical Society
Subjects:
Differential equations, Linear
Dynamical systems and ergodic theory > Infinite-dimensional Hamiltonian systems > Stability problems. msc
Hamiltonian systems
Index theorems
Operator theory > General theory of linear operators > Spectrum, resolvent. msc
Partial differential equations > Qualitative properties of solutions > Stability. msc
Partial differential equations > Spectral theory and eigenvalue problems > General topics in linear spectral theory. msc
Hamiltonian perturbations
index formula
exponential trichotomy
Linear Hamiltonian PDEs
structural decomposition
stability
spectral mapping
ISBN:9781470450441, 1470450445
ISSN:0065-9266, 1947-6221
Online Access:Get full text
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Description
Summary:Consider a general linear Hamiltonian system
Bibliography:January 2022, volume 275, number 1347 (first of 6 numbers)
Includes bibliographical references (p. 133-136)
ISBN:9781470450441
1470450445
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1347