Abstract
We consider nonlinear half-wave equations with focusing power-type nonlinearityi∂tu=-Δu-|u|p-1u,with(t,x)∈R×Rdwith exponents 1 < p< ∞ for d = 1 and 1 < < 1. Finally, we discuss the energy-critical case when p= (d+ 1) / (d- 1) in dimensions d ≥ 2.
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CITATION STYLE
APA
Bellazzini, J., Georgiev, V., Lenzmann, E., & Visciglia, N. (2019). On Traveling Solitary Waves and Absence of Small Data Scattering for Nonlinear Half-Wave Equations. Communications in Mathematical Physics, 372(2), 713–732. https://doi.org/10.1007/s00220-019-03374-y
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