Asymptotic analysis of an optimal boundary control problem for ill-posed elliptic equation in domains with rugous boundary-Reference-Cited by-同舟云学术

Asymptotic analysis of an optimal boundary control problem for ill-posed elliptic equation in domains with rugous boundary

Published:2020-06-08 Issue:3 Volume:118 Page:209-234
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

De Maio Umberto¹,Kogut Peter I.²,Manzo Rosanna³

Affiliation:

1. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli “Federico II”, Complesso Monte S. Angelo, via Cintia, 80126 Napoli, Italy. E-mail: udemaio@unina.it

2. Department of Differential Equations, Oles Honchar Dnipro National University, Gagarin av., 72, 49010 Dnipro, Ukraine. E-mail: p.kogut@i.ua

3. Department of Information Engineering, Electrical Engineering and Applied Mathematics, University of Salerno, Via Giovanni Paolo II, 132, Fisciano (SA), Italy. E-mail: rmanzo@unisa.it

Publisher

IOS Press

Subject

General Mathematics

Reference24 articles.

1. Boundary oscillations and nonlinear boundary conditions;Arrieta;C. R. Acad. Sci, Paris, Série I,2006

2. Why viscous fluids adhere to rugose walls: A mathematical explanation;Casado-Díaz;Journal of Differential Equations,2003

3. Optimal control of an ill-posed elliptic semilinear equation with an exponential nonlinearity;Casas;ESAIM: Control, Optimization and Calculus of Variations,1998

4. Homogenization of elliptic problems with quadratic growth and nonhomogenous Robin conditions in perforated domains;Chourabi;Chinese Annals of Mathematics. Series B,2016

5. Asymptotic analysis of optimal controls of a semilinear problem in a perforated domain;Conca;Journal of the Ramanujan Mathematical Society,2016

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Optimal control problem governed by wave equation in an oscillating domain and homogenization;Zeitschrift für angewandte Mathematik und Physik;2024-02-27

2. A possible design of paths on urban networks in critical conditions;AIP Conference Proceedings;2024

3. Analysis of an optimal boundary control problem for the case of a strongly degenerate elliptic equation;AIP Conference Proceedings;2023

4. Some results on optimal control problem for ill-posed nonlinear elliptic equations;AIP Conference Proceedings;2023

5. Existence result and approximation of an optimal control problem for the Perona–Malik equation;Ricerche di Matematica;2022-09-09