{ "id": "1409.3633", "version": "v1", "published": "2014-09-12T02:08:23.000Z", "updated": "2014-09-12T02:08:23.000Z", "title": "On estimates for fully nonlinear parabolic equations on Riemannian manifolds", "authors": [ "Bo Guan", "Shujun Shi", "Zhenan Sui" ], "categories": [ "math.AP", "math.DG" ], "abstract": "We present some new ideas to derive {\\em a priori} second order estiamtes for a wide class of fully nonlinear parabolic equations. Our methods, which produce new existence results for the initial-boundary value problems in $\\bfR^n$, are powerful enough to work in general Riemannian manifolds.", "revisions": [ { "version": "v1", "updated": "2014-09-12T02:08:23.000Z" } ], "analyses": { "subjects": [ "35K10", "35K55", "58J35", "35B45" ], "keywords": [ "fully nonlinear parabolic equations", "general riemannian manifolds", "initial-boundary value problems", "second order estiamtes", "existence results" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.3633G" } } }