On the Dirichlet problem for an elliptic equation

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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Bibliographic Details
Main Author: Anatolii K. Gushchin
Format: Article
Language:English
Published: Samara State Technical University 2015-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
elliptic equation
Dirichlet problem
function space
Online Access:http://mi.mathnet.ru/eng/vsgtu1383

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