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arXiv:1708.06804 [math.AP]AbstractReferencesReviewsResources

A refined description of evolving interfaces in certain nonlinear wave equations

Mohammad El Smaily, Robert Jerrard

Published 2017-08-22Version 1

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.

Comments: 19 pages
Categories: math.AP
Subjects: 35L70, 35L71, 35L30, 35B30
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