The Maslov and Morse Indices for System Schrodinger Operators on R Academic Article uri icon


  • Indiana University Mathematics Journal. Assuming a symmetric matrix-valued potential that approaches constant endstates with a sufficient asymptotic rate, we relate the Maslov and Morse indices for Schrdinger operators on R. In particular, we show that with our choice of convention, the Morse index is precisely the negative of the Maslov index. Our analysis is motivated, in part, by applications to stability of nonlinear waves, for which the Morse index of an associated linear operator typically determines stability. In a series of three examples, we illustrate the role of our result in such applications.

published proceedings


author list (cited authors)

  • Howard, P., Latushkin, Y., & Sukhtayev, A.

citation count

  • 10

complete list of authors

  • Howard, Peter||Latushkin, Yuri||Sukhtayev, Alim

publication date

  • January 2018