Uniqueness of spectral flow

DOI10.1016/S0895-7177(00)00221-1zbMath0986.58014OpenAlexW1981886450MaRDI QIDQ5931744

Eleonora Ciriza, Patrick M. Fitzpatrick, Jacobo Pejsachowicz

Publication date: 25 April 2001

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00221-1

zbMATH Keywords

continuityuniquenessboundary value problemssolvabilitynumber of solutionsspectral flowadditivity over direct sumsMorse indicesnonresonancenormalizationreal separable Hilbert spacesemilinear equations

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) General theory of linear operators (47A99) Boundary value problems on manifolds (58J32) Equations and inequalities involving nonlinear operators (47J99)

Related Items (6)

Bifurcation of critical points for continuous families of \(C^2\) functionals of Fredholm type ⋮ Bifurcation of critical points along gap-continuous families of subspaces ⋮ On a comparison principle and the uniqueness of spectral flow ⋮ Global bifurcations of critical orbits of \(G\)-invariant strongly indefinite functionals ⋮ Spectral flow is a complete invariant for detecting bifurcation of critical points ⋮ The equivariant spectral flow and bifurcation of periodic solutions of Hamiltonian systems

Cites Work

• Unnamed Item
• Spectral flow and bifurcation of critical points of strongly-indefinite functionals. I: General theory
• Perturbation theory for linear operators.
• The homotopy type of the unitary group of Hilbert space
• Spectral asymmetry and Riemannian geometry. III
• Spectral flow and bifurcation of critical points

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