130 citations · 550 across the 53 of their papers we have counts for
Showing math-phShow all
2 papers · 1 filter
math-ph2010★ 8 cited
Asymptotic stability of small gap solitons in the nonlinear Dirac equations
Dmitry E. Pelinovsky, Atanas Stefanov
We prove dispersive decay estimates for the one-dimensional Dirac operator and use them to prove asymptotic stability of small gap solitons in the nonlinear Dirac equations with qu…
math-ph2008★ 50 cited
On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension
D. E. Pelinovsky, A. Stefanov
Based on the recent work \cite{KKK} for compact potentials, we develop the spectral theory for the one-dimensional discrete Schrödinger operator $$ H ϕ= (-\De + V)ϕ=-(ϕ_{n+1} + ϕ_{…