Some properties for the Steklov averages
Jocemar Q. Chagas, Nicolau M. L. Diehl, Patr\'icia L. Guidolin
TL;DR
This paper explores various mathematical properties of Steklov averages, including differentiation with respect to space and time, and presents a fundamental calculus theorem related to these averages.
Contribution
It introduces new properties and results concerning the differentiation and fundamental calculus aspects of Steklov averages.
Findings
Properties of Steklov averages derived
Results on differentiation with respect to spatial variables
Fundamental theorem of calculus for Steklov averages
Abstract
We derive and present a collection of properties about the Steklov averages, including some results about the derivation with respect to spatial variables, and with respect to time, and a form of the fundamental theorem of the calculus.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Stochastic processes and financial applications · Advanced Mathematical Modeling in Engineering