{ "id": "1708.06804", "version": "v1", "published": "2017-08-22T20:22:41.000Z", "updated": "2017-08-22T20:22:41.000Z", "title": "A refined description of evolving interfaces in certain nonlinear wave equations", "authors": [ "Mohammad El Smaily", "Robert Jerrard" ], "comment": "19 pages", "categories": [ "math.AP" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-08-22T20:22:41.000Z" } ], "analyses": { "subjects": [ "35L70", "35L71", "35L30", "35B30" ], "keywords": [ "nonlinear wave equations", "evolving interfaces", "refined description", "stronger norms", "semilinear wave equations possessing" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }