Geodesic
Optimal Control Method for Solving the Cauchy--Neumann Problem for the Poisson Equation
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014), pp. 412-421

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper, the ill-posed Cauchy–Neumann problem is considered for the Poisson equation. The problem is reduced to the optimal control problem that is regularized. Optimization methods are applied to the solution of the obtained problem. 
@article{JMAG_2014_10_a1,
     author = {H. F. Guliyev and Y. S. Gasimov and S. M. Zeynalli},
     title = {Optimal {Control} {Method} for {Solving} the {Cauchy--Neumann} {Problem} for the {Poisson} {Equation}},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {412--421},
     publisher = {mathdoc},
     volume = {10},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2014_10_a1/}
}
TY  - JOUR
AU  - H. F. Guliyev
AU  - Y. S. Gasimov
AU  - S. M. Zeynalli
TI  - Optimal Control Method for Solving the Cauchy--Neumann Problem for the Poisson Equation
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2014
SP  - 412
EP  - 421
VL  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JMAG_2014_10_a1/
LA  - en
ID  - JMAG_2014_10_a1
ER  - 
%0 Journal Article
%A H. F. Guliyev
%A Y. S. Gasimov
%A S. M. Zeynalli
%T Optimal Control Method for Solving the Cauchy--Neumann Problem for the Poisson Equation
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2014
%P 412-421
%V 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JMAG_2014_10_a1/
%G en
%F JMAG_2014_10_a1
H. F. Guliyev; Y. S. Gasimov; S. M. Zeynalli. Optimal Control Method for Solving the Cauchy--Neumann Problem for the Poisson Equation. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014), pp. 412-421. http://geodesic.mathdoc.fr/item/JMAG_2014_10_a1/