Scholarlink

<p>We investigate the maximal regularity of classical solutions for non-autonomous fractional evolution equations. We establish the maximal regularity within the space of time-weighted Hölder continuous functions. This particular function space is advantageous because it allows for the presence of a singularity at the initial point, which may appear in the initial value or non-homogeneous functions. Furthermore, we extend our study to the semilinear problem, exploring the existence and regularity of its local solutions. As applications, two regularity results for both linear and semilinear parabolic problems are presented.</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

Weighted time maximal Hölder regularity for non-autonomous evolution equations with fractional derivative

  • 期刊论文

  • 发表日期：

    2026年5月20日

查看全文
  • Jia Wei He,
  • Shi Long Li

摘要

We investigate the maximal regularity of classical solutions for non-autonomous fractional evolution equations. We establish the maximal regularity within the space of time-weighted Hölder continuous functions. This particular function space is advantageous because it allows for the presence of a singularity at the initial point, which may appear in the initial value or non-homogeneous functions. Furthermore, we extend our study to the semilinear problem, exploring the existence and regularity of its local solutions. As applications, two regularity results for both linear and semilinear parabolic problems are presented.