| 書目名稱 | Harnack‘s Inequality for Degenerate and Singular Parabolic Equations | | 編輯 | Emmanuele DiBenedetto,Ugo Gianazza,Vincenzo Vespri | | 視頻video | http://file.papertrans.cn/425/424344/424344.mp4 | | 概述 | Topic is related to nonlinear parabolic PDEs which has been an active area of research in the last decades.Main focus includes recent breakthroughs extending known results for the prototype equations | | 叢書名稱 | Springer Monographs in Mathematics | | 圖書封面 |  | | 描述 | .Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of .p.-Laplacian and porous medium type,? while raised by several authors, has remained? basically open. Recently considerable progress has been made on this issue, to the point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete..?It seemed therefore timely to trace a comprehensive overview, that would highlight the main issues and also the problems that still remain open.? The authors give a comprehensive treatment of the Harnack inequality for non-negative solutions to .p.-laplace and porous medium type equations, both in the degenerate (.p.>2 or .m.>1) and in the singular range (1<.p.<2 or 0<.m.<1), starting from the notion of solution and building all the necessary technical tools..The book is self-contained. Building on a similar monograph by? the first author, the authors of the present book?focus entirely on the Harnack estimates and on their applications: i | | 出版日期 | Book 2012 | | 關(guān)鍵詞 | Harnack‘s inequality; classical Harnack inequality; degenerate and singular parabolic equations; degene | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-1584-8 | | isbn_softcover | 978-1-4899-9976-4 | | isbn_ebook | 978-1-4614-1584-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer Science+Business Media, LLC 2012 |
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