Geodesic
On Numerically Implementable Explicit Formulas for the Solutions to the 2D and 3D Equations $\operatorname{div}(\alpha(w)\nabla w)=0$ and $\operatorname{div}(\beta\nabla w)=0$ with Cauchy Data on an Analytic Boundary
Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 1, pp. 65-72

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A construction of numerically implementable explicit expressions for the solutions of the two- and three-dimensional equations $\operatorname{div}(\alpha(w)\nabla w)=0$ and $\operatorname{div}(\beta\nabla w)=0$ with Cauchy data on an analytic boundary is presented.
Keywords: Cauchy problem
Mots-clés : elliptic equation, explicit formula. 
@article{FAA_2021_55_1_a5,
     author = {A. S. Demidov},
     title = {On {Numerically} {Implementable} {Explicit} {Formulas} for the {Solutions} to the {2D} and {3D} {Equations} $\operatorname{div}(\alpha(w)\nabla w)=0$ and $\operatorname{div}(\beta\nabla w)=0$ with {Cauchy} {Data} on an {Analytic} {Boundary}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {65--72},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2021_55_1_a5/}
}
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A. S. Demidov. On Numerically Implementable Explicit Formulas for the Solutions to the 2D and 3D Equations $\operatorname{div}(\alpha(w)\nabla w)=0$ and $\operatorname{div}(\beta\nabla w)=0$ with Cauchy Data on an Analytic Boundary. Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 1, pp. 65-72. http://geodesic.mathdoc.fr/item/FAA_2021_55_1_a5/