论文标题
伪差异方程式具有较弱的radial函数变性的$ p $ -Adic参数
Pseudo-Differential Equations with Weak Degeneration for Radial Functions of $p$-adic Argument
论文作者
论文摘要
In earlier papers (A. N. Kochubei, Pacif. J. Math., 269 (2014), 355-369; J. Math. Anal. Appl.483 (2020), Article 123609), one of the authors developed a theory of pseudo-differential equations for radial real-valued functions on a non-Archimedean local field, with some features resembling those of classical ordinary differential equations.在这里，我们考虑了这种方程式，但变性较弱。在各种假设下，我们证明了温和解决方案的本地存在和独特性，其全球扩展的存在以及规律性的财产。
In earlier papers (A. N. Kochubei, Pacif. J. Math., 269 (2014), 355-369; J. Math. Anal. Appl.483 (2020), Article 123609), one of the authors developed a theory of pseudo-differential equations for radial real-valued functions on a non-Archimedean local field, with some features resembling those of classical ordinary differential equations. Here we consider equations of this kind, but with a weak degeneration. Under various assumptions, we prove the local existence and uniqueness of mild solutions, existence of their global extensions and a regularity property.
