M. Rudnev

activity

20022005

most citedOn inverse problem of dynamics

5 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2004Show all

2 papers · 1 filter

nlin.SI2004

A new integrable 3+1 dimensional generalization of the Burgers equation

M. Rudnev, A. V. Yurov, V. A. Yurov

A new nonlinear 3+1 dimensional evolution equation admitting the Lax pair is presented. In the case of one spatial dimension, the equation reduces to the Burgers equation. A method…

math.CA2004

Endpoint bounds for the non-isotropic Falconer distance problem associated with lattice-like sets

A. Iosevich, M. Rudnev

Let $S \subset R^{d}$ be contained in the unit ball. Let $Δ (S) = {∣∣ a - b ∣∣ : a, b \in S}$ , the Euclidean distance set of $S$ . Falconer conjectured that the $Δ (S)$ has positive…