This article is cited in 2 papers

Asymptotic behavior of the solutions of some boundary value problems for the Laplace equation in the case of deformation of the domain

V. I. Vlasov, A. P. Prudnikov


Abstract: We consider boundary-value problems for the Laplace equation in the plane and in certain classes of simply connected domains with boundaries constructed in a complicated way; we find the asymptotic behavior of the solutions of these problems when the deformation parameter of the domain tends to zero.

UDC: 517.956.225

 English version: Journal of Soviet Mathematics, 1984, 25:5, 1351–1379

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