Spectral analysis of -periodic Schrdinger operators and applications to periodic waves Academic Article

abstract

• 2017 Elsevier Inc. Assuming a symmetric matrix-valued potential, we consider the associated -periodic Schrdinger operators H on intervals [0,P], where in our applications P denotes the period of a stationary periodic solution to a nonlinear evolutionary PDE. We relate the Morse index of H to certain Maslov indices, and apply our theory to operators obtained when AllenCahn equations and systems are linearized about stationary periodic solutions.

authors

• Howard, Peter

published proceedings

• Journal of Differential Equations

author list (cited authors)

• Howard, P., & Jung, S.

citation count

• 1

complete list of authors

• Howard, Peter||Jung, Soyeun

publication date

• February 2018

publisher

• Elsevier  Publisher

published in

• Journal of Differential Equations  Journal

Digital Object Identifier (DOI)

• 10.1016/j.jde.2017.10.018

start page

• 2205

end page

• 2241

volume

• 264

issue

• 3

URL

• http://dx.doi.org/10.1016/j.jde.2017.10.018