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arxiv: 1708.06804 · v2 · pith:SSU2DWVOnew · submitted 2017-08-22 · 🧮 math.AP

A refined description of evolving interfaces in certain nonlinear wave equations

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keywords certainequationssolutionswavecomparedcurvaturedescriptionearlier
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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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