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arXiv · 1708.06804

A refined description of evolving interfaces in certain nonlinear wave equations

Mohammad El Smaily·Robert L. Jerrard
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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.

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Mohammad El Smaily, Robert L. Jerrard. 2017-08-22. A refined description of evolving interfaces in certain nonlinear wave equations. https://arxiv.org/abs/1708.06804

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