Probabilistic local and global well-posedness for the nonlinear wave equation on $B_2\times\mathbb{T}$

Aynur Bulut

Published 2014-09-10Version 1

We establish probabilistic local and global well-posedness results for the nonlinear wave equation, posed on the domain $B_2\times\mathbb{T}$, with randomly chosen initial data having radial symmetry in the $B_2$ variable, and with vanishing Dirichlet boundary conditions on $\partial B_2\times\mathbb{T}$.