Large data scattering for NLKG on waveguide R-d x T

We consider the pure-power defocusing nonlinear Klein-Gordon equation, in the H-1-subcritical case, posed on the product space R-d X T, where T is the one-dimensional flat torus. In this framework, we prove that scattering holds for any initial data belonging to the energy space H(1)x L-2 for 1 <= d <= 4. 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.


Published in:
Journal Of Hyperbolic Differential Equations, 17, 2, 355-394
Year:
Jun 01 2020
Publisher:
Singapore, WORLD SCIENTIFIC PUBL CO PTE LTD
ISSN:
0219-8916
1793-6993
Keywords:
Laboratories:




 Record created 2020-09-30, last modified 2020-10-29


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