A. Stefanov

activity

19972023

most cited

L^{p}

bounds for singular integrals and maximal singular integrals with rough kernels

130 citations · 550 across the 53 of their papers we have counts for

collaborators

Showing 2007Show all

3 papers · 1 filter

math.DS2007

The Kuramoto-Sivashinsky equation in R^1 and R^2: effective estimates of the high-frequency tails and higher Sobolev norms

Milena Stanislavova, Atanas Stefanov

We consider the Kuramoto-Sivashinsky (KS) equation in finite domains of the form $[- L, L]^{d}$ . Our main result provides refined Gevrey estimates for the solutions of the one dimensio…

nlin.PS2007★ 9 cited

Dynamical Barrier for the Formation of Solitary Waves in Discrete Lattices

P. G. Kevrekidis, J. A. Espinola-Rocha, Y. Drossinos +1

We consider the problem of the existence of a dynamical barrier of ``mass'' that needs to be excited on a lattice site to lead to the formation and subsequent persistence of locali…

math.CA2007★ 1 cited

Pseudodifferential operators with rough symbols

Atanas Stefanov

In this work, we develop $L^{p}$ boundedness theory for pseudodifferential operators with rough (not even continuous in general) symbols in the $x$ variable. Moreover, the $B (L^{p})$ o…