Corpus ID: 73686877

About the wave equation outside two strictly convex obstacles

@article{Lafontaine2017AboutTW,
  title={About the wave equation outside two strictly convex obstacles},
  author={David Lafontaine},
  journal={arXiv: Analysis of PDEs},
  year={2017}
}
  • David Lafontaine
  • Published 2017
  • Mathematics
  • arXiv: Analysis of PDEs
  • We prove global Strichartz estimates without loss for the wave equation outside two strictly convex obstacles, following the roadmap introduced in [Lafontaine, 2017] for the Schr\"odinger equation. Moreover, we show a first step toward the large data scattering for the critical non linear equation associated to this geometrical setting, and prove the scattering for a class of non trapping obstacles close to the two convex framework. 
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