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