Scholarlink

<p>We establish forward, backward and elliptic Harnack inequalities for non-negative solutions to a class of doubly non-linear parabolic partial differential equations. These Harnack estimates are established in a proper range of parameters <i>p</i> and <i>q</i> below. Such a range is shown to be optimal for a Harnack estimate to hold. Quantitative boundedness estimates for solutions and an expansion of positivity result for non-negative super-solutions are instrumental in the proof.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Intrinsic Harnack estimates for singular doubly non-linear equations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年1月12日

查看全文
  • Verena Bögelein,
  • Frank Duzaar,
  • Ugo Gianazza,
  • Naian Liao,
  • Christoph Scheven

摘要

We establish forward, backward and elliptic Harnack inequalities for non-negative solutions to a class of doubly non-linear parabolic partial differential equations. These Harnack estimates are established in a proper range of parameters p and q below. Such a range is shown to be optimal for a Harnack estimate to hold. Quantitative boundedness estimates for solutions and an expansion of positivity result for non-negative super-solutions are instrumental in the proof.