48 citations · 95 across the 17 of their papers we have counts for
5 papers · 1 filter
Well-posedness of Keller-Segel systems on compact metric graphs
Hewan Shemtaga, Wenxian Shen, Selim Sukhtaiev
Chemotaxis phenomena govern the directed movement of micro-organisms in response to chemical stimuli. In this paper, we investigate two Keller--Segel systems of reaction-advection-…
Stability and bifurcation for logistic Keller--Segel models on compact graphs
Hewan Shemtaga, Wenxian Shen, Selim Sukhtaiev
This paper concerns asymptotic stability, instability, and bifurcation of constant steady state solutions of the parabolic-parabolic and parabolic-elliptic chemotaxis models on met…
The Maslov Index and the Spectra of Second Order Elliptic Operators
Yuri Latushkin, Selim Sukhtaiev
We consider second order elliptic differential operators on a bounded Lipschitz domain . Firstly, we establish a natural one-to-one correspondence between their self-adjoint ext…
A bound for the eigenvalue counting function for Krein--von Neumann and Friedrichs extensions
Mark S. Ashbaugh, Fritz Gesztesy, Ari Laptev +2
For an arbitrary open, nonempty, bounded set , , and sufficiently smooth coefficients , we consider the closed, strictly positive, h…
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…