A. Nazarov

collaborators

2 papers

math.AP2026

Truncations for fractional Laplacians

Egor Ignatev, Alexander I. Nazarov, Pavel Nichitenko +1

Let $Ω \subset R^{n}$ be a bounded Lipschitz domain. We prove and widely generalize a conjecture of A.\,I.~Nazarov \cite{Naz21}: for $s \in (1, \frac{3}{2})$ the quadratic form $Q^{\…

math.AP2026

Functional a posteriori estimates for the fractional Laplacian problem

Alexander Nazarov, Sergey Repin

The paper is concerned with a posteriori estimates for approximations of boundary value problems generated by the spectral fractional Laplace operator. The derivation is based upon…