A refined description of evolving interfaces in certain nonlinear wave equations
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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.
Keywords
Semilinear wave equations Hyperbolic Interface Timelike hypersurfaceMathematics Subject Classification
35L71 35B25 74N20References
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