Geodesic
Asymptotic behavior of solutions to multiplicative control problems for elliptic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 9, pp. 1607-1618 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problems of optimal multiplicative control for the Helmholtz equation and the diffusion equation are studied. The control function is included multiplicatively in a mixed-type boundary condition specified on the entire domain boundary or its part. For each of the models under study, an iterative method for determining an approximate solution is constructed and theoretically substantiated for sufficiently large values of the regularization parameter. 
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R. V. Brizitskii; A. S. Savenkova. Asymptotic behavior of solutions to multiplicative control problems for elliptic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 9, pp. 1607-1618. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_9_a6/

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