265 citations · 815 across the 42 of their papers we have counts for
4 papers · 1 filter
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…
Towards temporal characterization of intense isolated attosecond pulses from relativistic surface high harmonics
O. Jahn, V. E. Leshchenko, P. Tzallas +13
Relativistic surface high harmonics have been considered a unique source for the generation of intense isolated attosecond pulses in the extreme ultra-violet (XUV) and X-ray spectr…
Nearby Cycle Sheaves for Symmetric Pairs
Mikhail Grinberg, Kari Vilonen, Ting Xue
We present a nearby cycle sheaf construction in the context of symmetric spaces. This construction can be regarded as a replacement for the Grothendieck-Springer resolution in clas…
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)…