On the Asymptotics of Solutions of Elliptic Equations in a Neighborhood of a Crack with Nonsmooth Front

2003 ◽  
Vol 10 (3) ◽  
pp. 543-548
Author(s):  
V. A. Kondrat'ev ◽  
V. A. Nikishkin
Keyword(s):  
Boundary Value Problem ◽  
Elliptic Equations ◽  
Dirichlet Boundary ◽  
Boundary Value ◽  
Second Order ◽  
Dirichlet Boundary Value Problem ◽  
Asymptotics Of Solutions ◽  
Divergent Form ◽  
Second Order Elliptic Equations

Abstract Two terms of asymptotics near crack are obtained for solutions of the Dirichlet boundary value problem for second-order elliptic equations in divergent form. The front of a crack is from 𝐶1+𝑠 and the coefficients of the equations belong to 𝐶𝑠 (0.5 < 𝑠 < 1).

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