paper

A refined description of evolving interfaces in certain nonlinear wave equations

arXiv:1708.06804

Abstract

We improve on recent results that establish the existence of solutions of certain semilinear wave equations possessing an interface that roughly sweeps out a timelike surface of vanishing mean curvature in Minkowski space. Compared to earlier work, we present sharper estimates, in stronger norms, of the solutions in question.

19 pages