G. Rozenblum

collaborators

3 papers

math.SP2026

Negative eigenvalue estimates for polyharmonic SchrÃ¶dinger operators with measure-potentials: the subcritical case

Medet Nursultanov, Grigori Rozenblum

We study spectral estimates for polyharmonic SchrÃ¶dinger operators $- I^^{l} - I^¼$ in the subcritical regime $2 l < N$ . The measure potential $I^¼$ is assumed to satisfy a capacit…

math.AP2026

Higher order H{Ã¶}lder approximation by solutions of second order elliptic equations

Grigori Rozenblum, Nikolay Shirokov

For a given second order elliptic operation $L$ in a domain $I^c ◯ \subset R^{N}$ , $N$ , and a compact set $K \subset I^c ◯$ , order $\mathbf{N}…

math.SP2025

Spectral asymptotics and estimates for matrix Birman-Schwinger operators with singular measures

Grigori Rozenblum, Grigory Tashchiyan

We consider operators of the form $T = A^{*} (V I^¼) A$ in $R^{N}$ , where $A$ is a pseudodifferential operator of order $- l$ , $I^¼$ is a…