Homogenization of a mixed problem with Signorini condition for an elliptic operator in a perforated domain

2001 ◽  
Vol 192 (2) ◽  
pp. 245-260 ◽  
Author(s):  
S E Pastukhova
Keyword(s):  
Elliptic Operator ◽  
Mixed Problem ◽  
Perforated Domain ◽  
Signorini Condition

Classical and generalized of a mixed problem– solutions for a non-homogeneous wave equation

2019 ◽  
Vol 484 (1) ◽  
pp. 18-20
Author(s):  
A. P. Khromov ◽  
V. V. Kornev
Keyword(s):  
Wave Equation ◽  
Fourier Series ◽  
Mixed Problem ◽  
Homogeneous Equation ◽  
Generalized Solution ◽  
Problem Solution ◽  
Homogeneous Wave ◽  
Homogeneous Wave Equation ◽  
Explicit Expressions

This study follows A.N. Krylov’s recommendations on accelerating the convergence of the Fourier series, to obtain explicit expressions of the classical mixed problem–solution for a non-homogeneous equation and explicit expressions of the generalized solution in the case of arbitrary summable functions q(x), ϕ(x), y(x), f(x, t).

Partial avaraging of the nondivergence second order elliptic operator

2016 ◽  
Vol 31 (3) ◽  
pp. 47-53
Author(s):  
M.M. Sirazhudinov ◽  
◽  
S.P. Dzhamaludinova ◽  
M.E. Mahmudova ◽  
◽  
...  
Keyword(s):  
Elliptic Operator ◽  
Second Order ◽  
Order Elliptic Operator
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