Large data scattering for NLKG on waveguide ℝd × 𝕋
2020 ◽
Vol 17
(02)
◽
pp. 355-394
Keyword(s):
We consider the pure-power defocusing nonlinear Klein–Gordon equation, in the [Formula: see text]-subcritical case, posed on the product space [Formula: see text], where [Formula: see text] is the one-dimensional flat torus. In this framework, we prove that scattering holds for any initial data belonging to the energy space [Formula: see text] for [Formula: see text]. The strategy consists in proving a suitable profile decomposition theorem on the whole manifold to pursue a concentration-compactness and rigidity method along with the proofs of (global in time) Strichartz estimates.
2011 ◽
Vol 52
(10)
◽
pp. 103703
◽
2020 ◽
Vol 17
(02)
◽
pp. 295-354