265 citations · 815 across the 42 of their papers we have counts for
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math.AP2018★ 30 cited
On Traveling Solitary Waves and Absence of Small Data Scattering for Nonlinear Half-Wave Equations
Jacopo Bellazzini, Vladimir Georgiev, Enno Lenzmann +1
We consider nonlinear half-wave equations with focusing power-type nonlinearity $$ i \pt_t u = \sqrt{-Δ} \, u - |u|^{p-1} u, \quad \mbox{with $(t,x) \in \R \times \R^d$} $$ with ex…
math.AP2018★ 5 cited
Traveling waves for the quartic focusing Half Wave equation in one space dimension
Jacopo Bellazzini, Vladimir Georgiev, Nicola Visciglia
We consider the quartic focusing Half Wave equation (HW) in one space dimension. We show first that that there exist traveling wave solutions with arbitrary small $H^{\frac 12}(\R)…