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Unique solvability of the integral equation for harmonic simple layer potential on the boundary of a domain with a peak

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Publication:735610
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DOI10.3103/S1063454109020083zbMath1186.31004MaRDI QIDQ735610

S. V. Poborchii, Vladimir Gilelevich Maz'ya

Publication date: 23 October 2009

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)


zbMATH Keywords

Dirichlet problemDirichlet integralsingle layer potential


Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)


Related Items (3)

Seventy five (thousand) unsolved problems in analysis and partial differential equations ⋮ Representation of a solution of the Dirichlet problem in a planar cusp domain as a logarithmic single-layer potential ⋮ Unique solvability of the Dirichlet problem for the equation $\Delta _p u=0$ in the exterior of a paraboloid




Cites Work

  • Geometry and stability of bubbles with gravity
  • Unnamed Item




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