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 2011 · math.APShow all

2 papers · 2 filters

math.AP2011★ 33 cited

Linear stability analysis for traveling waves of second order in time PDE's

Milena Stanislavova, Atanas Stefanov

We develop a general theory for linear stability of traveling waves of second order in time PDE's. More precisely, we introduce an explicitly computable index $\om^*\in (0, \infty]…

math.AP2011★ 2 cited

Local well-posedness for quadratic Schrödinger equations in $R^{1 + 1}$ : a normal form approach

Seungly Oh, Atanas Stefanov

For the Schrödinger equation $u_t+i u_{xx}=\nab^\be[u^2]$, $\be\in (0,1/2)$, we establish local well-posedness in $H^{\be-1+}$ (note that if $\be=0$, this matches, up to an endpoin…

Linear stability analysis for traveling waves of second order in time PDE's

Local well-posedness for quadratic Schrödinger equations in R1+1: a normal form approach

Local well-posedness for quadratic Schrödinger equations in $R^{1 + 1}$ : a normal form approach