Index theory in nonlinear analysis / Chungen Liu.
Liu, Chungen, author.
2019
QA321.5
Available Online

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Title
Index theory in nonlinear analysis / Chungen Liu.
Author
Liu, Chungen, author.
ISBN
9789811372872 (electronic book)
981137287X (electronic book)
9789811372865
DOI
https://doi.org/10.1007/978-981-13-7
Published
Singapore : Springer, [2019]
Language
English
Description
1 online resource.
Item Number
10.1007/978-981-13-7 doi
Call Number
QA321.5
Dewey Decimal Classification
515/.7248
Summary
This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems. It focuses on two index theories: L-index theory (index theory for Lagrangian boundary conditions) and P-index theory (index theory for P-boundary conditions). In addition, the book introduces readers to recent advances in the study of index theories for symmetric periodic solutions of nonlinear Hamiltonian systems, and for selected boundary value problems involving partial differential equations.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (viewed June 3, 2019).
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Linear Algebraic Aspects
A brief introduction to index functions
Relative Morse index
The P-index theory
The L-index theory
Maslov type index for Lagrangian paths
Revisit of Maslov type index for Symplectic Paths
Applications of P-index
Applications of L-index
Multiplicity of brake orbits on a fixed energy surface
The existence and multiplicity of solutions of wave equations.

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