Index theory in nonlinear analysis
Author:   Chungen Liu
Publisher:   Springer Verlag, Singapore
Edition:   1st ed. 2019
ISBN:  

9789811372896


Pages:   333
Publication Date:   15 August 2020
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Index theory in nonlinear analysis


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Overview

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.

Full Product Details

Author:   Chungen Liu
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Verlag, Singapore
Edition:   1st ed. 2019
Weight:   0.645kg
ISBN:  

9789811372896


ISBN 10:   9811372896
Pages:   333
Publication Date:   15 August 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

“This book provides a very lucid and versatile introduction to the methods of index theories and their applications. It covers very important material in a concise and very instructive manner, and as such, it may serve as an excellent guide to further, more advanced and detailed reading in this area of mathematics.” (Ahmed Lesfari, zbMATH 1420.37001, 2019)


This book provides a very lucid and versatile introduction to the methods of index theories and their applications. It covers very important material in a concise and very instructive manner, and as such, it may serve as an excellent guide to further, more advanced and detailed reading in this area of mathematics. (Ahmed Lesfari, zbMATH 1420.37001, 2019)


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