A refined description of evolving interfaces in certain nonlinear wave equations

作者：El Smaily Mohammad^*; Jerrard Robert L

来源：Nodea-Nonlinear Differential Equations and Applications, 2018, 25(2): 15.

DOI：10.1007/s00030-018-0506-x

• Semilinear wave equations
• Hyperbolic
• Interface
• Timelike hypersurface

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.

• 出版日期2018-4