MISC

2013年1月

A Hölder estimate for nonlinear parabolic systems of p-Laplacian type

Journal of Differential Equations
  • Masashi Misawa

254
2
開始ページ
847
終了ページ
878
記述言語
英語
掲載種別
DOI
10.1016/j.jde.2012.10.001

We extend the Hölder regularity results for weak solutions of the p-Laplacian systems originally obtained by DiBenedetto to a larger class of right-hand side terms. By appropriately arranging two scale parameters on the sizes of a local parabolic cylinder and of the gradient of the solutions, we get the same Hölder exponent as in the scalar case. Our method can also recover the classical parabolic case p= 2. © 2012 Elsevier Inc.

Web of Science ® 被引用回数 : 11

リンク情報
DOI
https://doi.org/10.1016/j.jde.2012.10.001
Scopus
https://www.scopus.com/record/display.uri?eid=2-s2.0-84868191080&origin=inward
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000311523400019&DestApp=WOS_CPL
URL
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84868191080&origin=inward