Scholarlink

This study investigates the interplay between analytic semigroups and pseudodifferential operators, focusing on spaces \(L_1(\mathbb {R}^n)\) and \(BUC(\mathbb {R}^{n})\) and applications for some partial differential equations (PDEs). Specifically, we establish the sectoriality of certain pseudodifferential operators on function spaces, such as \(L_1(\mathbb {R}^n)\) and \(BUC(\mathbb {R}^{n})\) , that were not covered by previous works. The symbols of these operators depend on parameters within a complex sector, which facilitates their application to parabolic and elliptic equations. These results provide new tools for analyzing the solvability and regularity properties of such PDEs.

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

Sectorial Pseudodifferential Operators in  \(L_{1}(\mathbb {R}^{n})\) and  \(BUC(\mathbb {R}^{n})\)

  • 会议论文

  • 发表日期：

    2026年

查看全文
  • Weymar A. Astaiza Sulez,
  • Pedro T. P. Lopes

摘要

This study investigates the interplay between analytic semigroups and pseudodifferential operators, focusing on spaces \(L_1(\mathbb {R}^n)\) and \(BUC(\mathbb {R}^{n})\) and applications for some partial differential equations (PDEs). Specifically, we establish the sectoriality of certain pseudodifferential operators on function spaces, such as \(L_1(\mathbb {R}^n)\) and \(BUC(\mathbb {R}^{n})\) , that were not covered by previous works. The symbols of these operators depend on parameters within a complex sector, which facilitates their application to parabolic and elliptic equations. These results provide new tools for analyzing the solvability and regularity properties of such PDEs.