Dirichlet problem with degeneration of the input data on the boundary of the domain


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Abstract

We define an R?-generalized solution of the first boundary value problem for a second-order elliptic equation with degeneration of the input data on the entire boundary of the two-dimensional domain and prove the existence and uniqueness of the solution in the weighted set .

About the authors

V. A. Rukavishnikov

Computing Center

Author for correspondence.
Email: vark@mail.redcom.ru
Russian Federation, Khabarovsk

E. I. Rukavishnikova

Computing Center

Email: vark@mail.redcom.ru
Russian Federation, Khabarovsk

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