{ "id": "2106.05021", "version": "v1", "published": "2021-06-09T12:32:53.000Z", "updated": "2021-06-09T12:32:53.000Z", "title": "Continuity of Bounded Weak Solutions to Parabolic Equations with Quadratic Growth in Gradients", "authors": [ "Dung Le" ], "categories": [ "math.AP" ], "abstract": "We present a simple proof of the regularity of bounded weak solutions to a class of parabolic scalar equations with integrable data. The nonlinear part of the equations are allowed to have quadratic growths in gradients.", "revisions": [ { "version": "v1", "updated": "2021-06-09T12:32:53.000Z" } ], "analyses": { "keywords": [ "bounded weak solutions", "quadratic growth", "parabolic equations", "continuity", "parabolic scalar equations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }