Index theory in nonlinear analysis
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Index theory in nonlinear analysis “
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.
Bibliographische Angaben
- Autor: Chungen Liu
- 2020, 1st ed. 2019, XXI, 333 Seiten, Maße: 15,6 x 23,4 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 9811372896
- ISBN-13: 9789811372896
Sprache:
Englisch
Pressezitat
"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)Kommentar zu "Index theory in nonlinear analysis"
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