English

A refined description of evolving interfaces in certain nonlinear wave equations

Analysis of PDEs 2018-03-21 v2

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.

Keywords

Cite

@article{arxiv.1708.06804,
  title  = {A refined description of evolving interfaces in certain nonlinear wave equations},
  author = {Mohammad El Smaily and Robert L. Jerrard},
  journal= {arXiv preprint arXiv:1708.06804},
  year   = {2018}
}

Comments

19 pages

R2 v1 2026-06-22T21:21:07.427Z