D
Durastanti, Riccardo
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Nonlinear asymptotic mean value characterizations of holomorphic functions

Abstract

Starting from a characterization of holomorphic functions in terms of a suitable mean value property, we build some nonlinear asymptotic characterizations for complex-valued solutions of certain nonlinear systems, which have to do with the classical Cauchy-Riemann equations. From these asymptotic characterizations, we derive suitable asymptotic mean value properties, which are used to construct appropriate vectorial dynamical programming principles. The aim is to construct approximation schemes for the so-called contact solutions, recently introduced by N. Katzourakis, of the nonlinear systems here considered.

article Article
date_range 2024
language English
link Link of the paper
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D
Durastanti Riccardo
M
Magnanini Rolando
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Featured Keywords
Holomorphic functions
quasiregular maps
mean value property
asymptotic mean value property for nonlinear systems
contact solutions
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