Index theory in nonlinear analysis

Chungen Liu (Autor)

Buch | Hardcover

333 Seiten

2019 | 2019 ed.
Springer Verlag, Singapore
978-981-13-7286-5 (ISBN)

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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.

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.

Erscheinungsdatum	08.06.2019
Zusatzinfo	94 Illustrations, black and white; XXI, 333 p. 94 illus.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	existence and multiplicity of solutions of wave equations • Lagrangian paths • L-index • Maslov type index • Morse Index • Nonlinear Hamiltonian systems • P-index
ISBN-10	981-13-7286-1 / 9811372861
ISBN-13	978-981-13-7286-5 / 9789811372865
Zustand	Neuware