6 citations · 15 across the 5 of their papers we have counts for
5 papers
Diffusive stability of spatially periodic patterns with a conservation law
Alim Sukhtayev
Applying the Lyapunov-Schmidt reduction approach introduced by Mielke and Schneider in their analysis of the fourth-order scalar Swift-Hohenberg equation, we carry out a rigorous s…
The Maslov and Morse indices for Schrödinger operators on
Peter Howard, Yuri Latushkin, Alim Sukhtayev
Assuming a symmetric potential that approaches constant endstates with a sufficient asymptotic rate, we relate the Maslov and Morse indices for Schrödinger operators on $\mathbb{R}…
The Maslov index for Lagrangian pairs on
Peter Howard, Yuri Latushkin, Alim Sukhtayev
We discuss a definition of the Maslov index for Lagrangian pairs on based on spectral flow, and develop many of its salient properties. We provide two application…
The Morse and Maslov Indices for Schrödinger Operators
Yuri Latushkin, Alim Sukhtayev, Selim Sukhtaiev
We study the spectrum of Schrödinger operators with matrix valued potentials utilizing tools from infinite dimensional symplectic geometry. Using the spaces of abstract boundary va…
The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials
Graham Cox, Christopher K. R. T. Jones, Yuri Latushkin +1
We study the Schrödinger operator on a star-shaped domain in with Lipschitz boundary . The operator is equipped with quite general Dirichlet-…