Publication: On the asymptotic behaviour of the solution of elliptic problems in cylindrical domains becoming unbounded
On the asymptotic behaviour of the solution of elliptic problems in cylindrical domains becoming unbounded
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Chipot, M., & Rougirel, A. (2002). On the asymptotic behaviour of the solution of elliptic problems in cylindrical domains becoming unbounded. Communications in Contemporary Mathematics, 4(1), 15–44. https://doi.org/10.1142/S0219199702000555
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We study the asymptotic behavior of the solution of linear and nonlinear elliptic problems in cylindrical domains becoming unbounded in one or several directions. In particular we show that this solution converges in H1 norm toward the solution of problems set on the cross section of the domains.
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- Chipot, M
- Rougirel, A
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Chipot, M., & Rougirel, A. (2002). On the asymptotic behaviour of the solution of elliptic problems in cylindrical domains becoming unbounded. Communications in Contemporary Mathematics, 4(1), 15–44. https://doi.org/10.1142/S0219199702000555