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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El Smaily, M., Jerrard, R.L. A refined description of evolving interfaces in certain nonlinear wave equations. Nonlinear Differ. Equ. Appl. 25, 15 (2018). https://doi.org/10.1007/s00030-018-0506-x
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DOI: https://doi.org/10.1007/s00030-018-0506-x