Geodesic
On the definitions of boundary values of generalized solutions to an elliptic-type equation
Informatics and Automation, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 48-52

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An elliptic-type equation with variable coefficients is considered. An overview is given of the definitions of boundary values of generalized solutions to this equation. Conditions for the existence of boundary values as well as conditions for the existence and uniqueness of solutions to the corresponding Dirichlet problem are analyzed. 
@article{TRSPY_2018_301_a3,
     author = {N. A. Gusev},
     title = {On the definitions of boundary values of generalized solutions to an elliptic-type equation},
     journal = {Informatics and Automation},
     pages = {48--52},
     publisher = {mathdoc},
     volume = {301},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2018_301_a3/}
}
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N. A. Gusev. On the definitions of boundary values of generalized solutions to an elliptic-type equation. Informatics and Automation, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 48-52. http://geodesic.mathdoc.fr/item/TRSPY_2018_301_a3/