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

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

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