When: Dec. 12. 2019 (Thurs), 16:00--17:15.
where: Building 110, Room N.103

Speaker: Soyean Jung (Kongju National University)

Title: Spectral analysis of θ-periodic Schr¨odinger operators and applications to periodic waves

Abstract: Assuming a symmetric matrix-valued potential, we consider the associated θ-periodic Schr¨odinger operators Hθ 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 Hθ to certain Maslov indices, and apply our theory to operators obtained when Allen–Cahn equations are linearized about stationary periodic solutions.