31 citations · 151 across the 56 of their papers we have counts for
72 papers
On solutions of the modified Helmholtz equation in a planar domain
Alexander I. Nazarov
A criterion for the convexity of a two-dimensional domain is proved in terms of the solution of a boundary value problem for the modified Helmholtz equation.
-small ball asymptotics for some demeaned Gaussian processes
Alexander Nazarov, Yulia Petrova
We discuss the centering operation for the Green Gaussian processes and calculate -small ball asymptotics for some centered (demeaned) processes.
-small ball asymptotics for Gaussian random functions: a survey
Alexander Nazarov, Yulia Petrova
This article is a survey of the results on asymptotic behavior of small ball probabilities in -norm. Recent progress in this field is mainly based on the methods of spectral t…
Hardy type inequalities with mixed weights in cones
Gabriele Cora, Roberta Musina, Alexander I. Nazarov
We study Hardy type inequalities involving mixed cylindrical and spherical weights, for functions supported in cones. These inequalities are related to some singular or degenerate…
Nonstationary Venttsel problems with discontinuous data
D. E. Apushkinskaya, A. I. Nazarov, D. K. Palagachev +1
We study linear and quasilinear Venttsel initial-boundary value problems for parabolic operators with discontinuous coefficients. On the basis of the a priori estimates obtained, s…
Fractional operators as traces of operator-valued curves
Roberta Musina, Alexander I. Nazarov
We relate non integer powers , of a given (unbounded) positive self-adjoint operator in a real separable Hilbert space with a cert…