Scholarlink

<p>We show that strictly positive viscosity supersolutions to Trudinger’s equation are local weak supersolutions. As an application, we show using the Ishii–Lions method that not only viscosity but also weak solutions are Lipschitz continuous in the space variable. In the time variable, we obtain Hölder continuity with the exponent 1/2.</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

Lipschitz continuity and equivalence of positive viscosity and weak solutions to Trudinger’s equation

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年2月18日

查看全文
  • Peter Lindqvist,
  • Mikko Parviainen,
  • Jarkko Siltakoski

摘要

We show that strictly positive viscosity supersolutions to Trudinger’s equation are local weak supersolutions. As an application, we show using the Ishii–Lions method that not only viscosity but also weak solutions are Lipschitz continuous in the space variable. In the time variable, we obtain Hölder continuity with the exponent 1/2.