p-adic 场上的线性和非线性伪微分算子

IF 0.9 3区 数学 Q2 MATHEMATICS
N. Athira, M. C. Lineesh
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引用次数: 0

摘要

最近,p-adic 场的小波分析被广泛应用于物理学、生物学和地球物理学。本文使用哈尔和非哈尔小波来研究各种 p-adic 伪微分方程。最后,利用 Schauder 定点定理和小波函数证明了非线性 p-adic 伪微分方程和 Navier Stokes p-adic 类似方程的解的存在性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Linear and nonlinear pseudo-differential operators on p-adic fields

Recently, wavelet analysis over the p-adic fields are widely used in physics, biology and geophysics. In this paper, p-adic wavelets are used to study various p-adic pseudo-differential equations. p-Adic analogue of wave equation and general linear second order pseudo-differential equation are solved using both Haar and non-Haar wavelets. Finally, the existence of solutions of nonlinear p-adic pseudo differential equation and p-adic analogue of Navier Stokes equation are proved using the Schauder fixed point theorem together with wavelet functions.

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来源期刊
CiteScore
2.20
自引率
9.10%
发文量
59
期刊介绍: The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.
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