Geodesic
The dependence of the boundary value problem solution from a~perturbation of a~domain along vector fields
Sbornik. Mathematics, Tome 69 (1991) no. 2, pp. 393-415

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Regular dependence theorems are presented and growth estimates in Hölder norms are established for the solutions of boundary value problems, under perturbation of the domain by vector fields. The question of parametrization of domains is considered. The results obtained are applied to the analysis of operator functions which arise in the study of a free boundary problem. 
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     author = {A. K. Kerimov},
     title = {The dependence of the boundary value problem solution from a~perturbation of a~domain along vector fields},
     journal = {Sbornik. Mathematics},
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     volume = {69},
     number = {2},
     year = {1991},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1991_69_2_a4/}
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A. K. Kerimov. The dependence of the boundary value problem solution from a~perturbation of a~domain along vector fields. Sbornik. Mathematics, Tome 69 (1991) no. 2, pp. 393-415. http://geodesic.mathdoc.fr/item/SM_1991_69_2_a4/