Claudio Muñoz, Felipe Poblete, Juan C. Pozo
Published 2017-07-09Version 1
In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq equation must decay to zero as time tends to infinity, strongly on slightly proper subsets of the space-time light cone. Our result does not require any assumption on the power of the nonlinearity, working even for the supercritical range of scattering. No parity assumption on the initial data is needed.
Scattering in the energy space for the NLS with variable coefficients
Well-posedness and scattering for NLS on $\R^d\times \T $ in the energy space
Asymptotic stability of lattice solitons in the energy space
![QR code for arXiv:1707.02616 [math.AP]](http://oss.arxitics.com/images/favicon.svg)