The Behaviour of Weak Solutions of Boundary Value Problems for Linear Elliptic Second Order Equations in Unbounded Cone-Like Domains
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AbstractWe investigate the behaviour of weak solutions of boundary value problems (Dirichlet, Neumann, Robin and mixed) for linear elliptic divergence second order equations in domains extending to infinity along a cone. We find an exponent of the solution decreasing rate: we derive the estimate of the weak solution modulus for our problems near the infinity under assumption that leading coefficients of the equations do not satisfy the Dini-continuity condition.
2017 ◽
Vol 25
(2)
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pp. 201-224
2018 ◽
Vol 2018
(1)
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2005 ◽
Vol 133
(5)
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pp. 1365-1369
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1987 ◽
Vol 12
(12)
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pp. 849-853
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2012 ◽
Vol 48
(10)
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pp. 1348-1353
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2010 ◽
Vol 55
(5-6)
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pp. 471-500
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Error estimates for shooting methods in two-point boundary value problems for second-order equations
1994 ◽
Vol 60
(2-3)
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pp. 237-248
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