Riemann boundary value problem on non‐rectifiable curves for null‐solutions of iterated and meta class of certain type of Beltrami equation

Release time:2026-03-02

DOI number:10.1002/mma.70639

Journal:Mathematical Methods in the Applied Sciences

Abstract:In this paper, we generalize the class of jump curves of the classical Riemann boundary value problem to the class of 𝑑-summable Jordan closed curves, and the function class of the classical Riemann boundary value problem to the poly-𝛽-analytic and meta-𝛽-analytic function classes, respectively. By applying the method for solving Riemann boundary value problem for 𝛽-analytic functions on 𝑑-summable curves, we derive the solvability conditions and explicit solutions for the identical-factor Riemann boundary value problem of poly-𝛽-analytic and meta-𝛽-analytic functions defined on 𝑑-summable Jordan closed curves.

Co-author:Yan Dai, Juan Bory Reyes, Fuli He*

Indexed by:Journal paper

Discipline:Natural Science

First-Level Discipline:Mathematics

Document Type:J

Volume:49

Issue:10

Page Number:10993–11007

Translation or Not:no

Date of Publication:2026-02-28

Included Journals:SCI