Time-like lorentzian minimal submanifolds as singular limits of nonlinear wave equations

G. Bellettini, M. Novaga, G. Orlandi

We consider the sharp interface limit $\epsilon \to 0$ of the semilinear wave equation $u_{tt}-\Delta u+\nabla W(u)/{\epsilon }^2=0$ in ${\mathbf{R}}^{1+n}$, where $u$ takes values in ${\mathbf{R}}^k$, $…