{ "id": "1303.3232", "version": "v1", "published": "2013-03-13T17:52:47.000Z", "updated": "2013-03-13T17:52:47.000Z", "title": "Front tracking and iterated minmax for Hamilton-Jacobi equation in one space variable", "authors": [ "Qiaoling Wei" ], "comment": "22 pages; 9 figures", "categories": [ "math.AP", "math.DS" ], "abstract": "The viscosity solution of the Hamilton-Jacobi equation was constructed by an \"iterated minimax\" procedure. Using Dafermos' front tracking method, we give another proof of this construction in the case of Hamilton-Jacobi equations in one space dimension. This allows us to get a better understanding in this case of the singularities of the viscosity solution.", "revisions": [ { "version": "v1", "updated": "2013-03-13T17:52:47.000Z" } ], "analyses": { "keywords": [ "hamilton-jacobi equation", "iterated minmax", "space variable", "viscosity solution", "space dimension" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1303.3232W" } } }