142 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
6 papers
On compressions of self-adjoint extensions of a symmetric linear relation
Vadim Mogilevskii
Let be a symmetric linear relation in the Hilbert space $\gH$ with equal deficiency indices . A self-adjoint linear relation $\wt A\supset A$ in some Hilbe…
Spectral and pseudospectral functions of various dimensions for symmetric systems
Vadim Mogilevskii
The main object of the paper is a symmetric system $J y'-B(t)y=ł\D(t) y$ defined on an interval $\cI=[a,b) $ with the regular endpoint . Let $\f(\cd,ł)$ be a matrix solution of…
Symmetry classification of third-order nonlinear evolution equations. Part I: Semi-simple algebras
P. Basarab-Horwath, F. Güngör, V. Lahno
We give a complete point-symmetry classification of all third-order evolution equations of the form which admit semi-simple s…
Group classification of nonlinear wave equations
V. I. Lagno, R. Z. Zhdanov, O. Magda
We perform complete group classification of the general class of quasi linear wave equations in two variables. This class may be seen as a broad generalization of the nonlinear d'A…
Symmetry and Exact Solutions of the Maxwell and SU(2) Yang-Mills Equations
R. Z. Zhdanov, V. I. Lagno
We give the overview of solution techniques for the general conformally-invariant linear and nonlinear wave equations centered around the idea of dimensional reductions by their sy…
Realizations of Real Low-Dimensional Lie Algebras
Roman O. Popovych, Vyacheslav M. Boyko, Maryna O. Nesterenko +1
Using a new powerful technique based on the notion of megaideal, we construct a complete set of inequivalent realizations of real Lie algebras of dimension no greater than four in…