Nonlinear asymptotic mean value characterizations of holomorphic functions

Autor:	Durastanti, Riccardo, Magnanini, Rolando
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematics - Complex Variables
Druh dokumentu:	Working Paper
DOI:	10.1051/cocv/2024034
Popis:	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. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.08437 Zobrazit plný text záznamu View this record from Arxiv