On the Definitions of Boundary Values of Generalized Solutions to an Elliptic-Type Equation


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Resumo

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.

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N. Gusev

Steklov Mathematical Institute of Russian Academy of Sciences; People’s Friendship University of Russia (RUDN University)

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Email: n.a.gusev@gmail.com
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