Resumo: In this talk we present an alternative proof on Hadamard well-posedness of a damped semilinear wave equation with sub-critical growth. To do this, we combine some classical results of mathematical analysis with the recent proved Strichartz type estimates for compact Riemannian manifolds with boundary.
Reference
Blair, M. D., Smith, H. F. and Sogge, C. D. Strichartz estimates for the wave equation on manifolds with boundary. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis. Vol. 26. No. 5. Elsevier Masson, 2009.


