English

Scattering of rough solutions of the nonlinear Klein-Gordon equations in 3D

Analysis of PDEs 2016-06-13 v3

Abstract

We prove scattering of solutions below the energy norm of the 3D Klein-Gordon equation for 5>p>3. In order to do that, we generate an exponential-type decay estimate in H^{s}, s<1, by means of concentration and a low-high frequency decomposition.

Keywords

Cite

@article{arxiv.1008.0094,
  title  = {Scattering of rough solutions of the nonlinear Klein-Gordon equations in 3D},
  author = {Soonsik Kwon and Tristan Roy},
  journal= {arXiv preprint arXiv:1008.0094},
  year   = {2016}
}

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Version similar to published version (32 pages)