{ "id": "1811.00629", "version": "v1", "published": "2018-11-01T20:43:27.000Z", "updated": "2018-11-01T20:43:27.000Z", "title": "Localized peaking regimes for quasilinear doubly degenerate parabolic equations", "authors": [ "Andrey E. Shishkov", "Yevgeniia A. Yevgenieva" ], "comment": "in Russian", "categories": [ "math.AP" ], "abstract": "Regimes with a singular peaking for a wide class of quasilinear second order parabolic equations are studied. On the basis of energy methods, precise estimates of a final profile of a weak solution in a neighborhood of the peaking time are established depending on the rate of increase of a global energy of this solution. Key words: quasilinear parabolic equations, peaking regimes, energy solutions.", "revisions": [ { "version": "v1", "updated": "2018-11-01T20:43:27.000Z" } ], "analyses": { "subjects": [ "35K59", "35B44", "35K58", "35K65" ], "keywords": [ "quasilinear doubly degenerate parabolic equations", "localized peaking regimes", "quasilinear second order parabolic equations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "ru", "license": "arXiv", "status": "editable" } } }