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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1998 Volume 250, Pages 203–218 (Mi znsl651)

This article is cited in 19 papers

Solving of Vent'sel boundary-value problem for Laplace and Helmholtz equations by iterated potentials

V. V. Lukyanov, A. I. Nazarov

Saint-Petersburg State University

Abstract: Using the properties of iterated potentials we transform Vent'sel problem for Laplace and Helmholtz equations to Fredholm equation. The possibility of application of iterated potentials to investigation of the Helmholtz equation with high order boundary condition is shown.

UDC: 517.9

Received: 27.11.1997


 English version:
Journal of Mathematical Sciences (New York), 2000, 102:4, 4265–4274

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