p-adic域上一类拟微分方程的定解问题  

Explicit solutions to a class of pseudodifferential equations over p-adic field

作　　者：吴波[1] 

机构地区：[1]南京财经大学应用数学学院,江苏南京210023

出　　处：《云南大学学报（自然科学版）》2014年第2期149-156,共8页Journal of Yunnan University(Natural Sciences Edition)

基　　金：江苏省高校自然科学基金(13KJB110010);江苏高校优势学科建设工程基金(PAPD)

摘　　要：利用p-adic域上定义的拟微分算子以及L2空间上的一组正交基,研究了p-adic域上一类拟微分方程,得到该微分方程的形式解,以及解在函数类中的收敛性质.并举例做了相关验证.Explicit solutions to a class of pseudodifferential equations over p - adie field Kp was investigated where T^a is a p - adic psedodifferential operator defined by SU Wei-yi. The explicit solution of the equation was obtained, and the uniqueness of solution which belongs to mixed classes of real and p - adic functions was constructed. Finally, some examples were given.

关 键 词：定解 拟微分算子 p—adic域 

分 类 号：O175.2[理学—数学]