MISC

2015年7月1日

Hölder regularity for singular parabolic systems of p-laplacian type

Advances in Differential Equations
  • Corina Karim
  • ,
  • Corina Karim
  • ,
  • Masashi Misawa
  • ,
  • Yoshikazu Giga

20
開始ページ
741
終了ページ
772

We study the regularity for nonlinear parabolic systems of p-Laplacian type, in the singular case 2m/m+2 < p < 2. We show an optimal condition on given external forces for a local Hölder continuity. Actually, our main result recovers the classical one for linear equations. The proof is based on Campanato's direct approach with the intrinsic scaling to the evolutionary p-Laplace operator. The iteration scheme is performed similarly as in [18], however, with some technical care peculiar to the singular case.

リンク情報
Scopus
https://www.scopus.com/record/display.uri?eid=2-s2.0-84964806418&origin=inward
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84964806418&origin=inward