On the Dirichlet problem for an elliptic equation
It is well known that the concept of a generalized solution from the Sobolev space $ W_2 ^ 1 $ of the Dirichlet problem for a second order elliptic equation is not a generalization of the classical solution sensu stricto: not every continuous function on the domain boundary is a trace of some functi...
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Format: | Article |
Language: | English |
Published: |
Samara State Technical University
2015-03-01
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Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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Online Access: | http://mi.mathnet.ru/eng/vsgtu1383 |