Iterative method for solving a nonlinear Robin problem

2024/09/24 by Jamel Benameur, Benameur, Jamel, Chokri Elhechmi +1
Engineering · Mathematics · #Advanced Optimization Algorithms Research #Aerospace Engineering and Control Systems #Analysis of PDEs (math.AP) #Existence and uniqueness of solution #FOS: Mathematics #G.1.8 #Heat Transfer and Mathematical Modeling #Nonlinear Robin condition #Sobolev spaces #iterative metho

paper · pdf · doi:10.48550/arxiv.2409.16464

openalex publication_date 2024/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In \citeCJ1 M. Jaoua et al. studied the linear approximation of Robin problem on Ω an open bounded domain of \R^d, and they given some important results. In this paper, we study a nonlinear approximation of an elliptic problem with a nonlinear Robin boundary condition in a domain of \R². We prove the existence and uniqueness of solution by an iterative construction method with admissible condition on ∂Ω.

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