Global well-posedness of the defocusing, cubic nonlinear wave equation
outside of the ball with radial data
Global well-posedness of the defocusing, cubic nonlinear wave equation
outside of the ball with radial data
We consider the defocusing, cubic nonlinear wave equation with zero Dirichlet boundary value in the exterior $\Omega = \R^3\backslash \bar{ B}(0,1)$. We make use of the distorted Fourier transform in \cite{LiSZ:NLS, Taylor:PDE:II} to establish the dispersive estimate and the global-in-time (endpoint) Strichartz estimate of the linear wave equation outside of …