Dirichlet problem in domains with thin bridges

DOI10.1007/BF00971468zbMath0553.35018MaRDI QIDQ802075

Vladimir Gilelevich Maz'ya, Sergueï A. Nazarov, Boris A. Plamenevsky

Publication date: 1984

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemLaplace equationdomains with thin bridges

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (7)

Conformal mapping for cavity inverse problem: an explicit reconstruction formula ⋮ Gaps in the spectrum of the Neumann problem on a perforated plane ⋮ Spectral gaps in the Dirichlet and Neumann problems on the plane perforated by a doubleperiodic family of circular holes ⋮ Non-stationary Navier-Stokes equations in \(2D\) power cusp domain. I: Construction of the formal asymptotic decomposition ⋮ Modeling of a false aneurysm in an artery: equilibrium and development of a hematoma ⋮ On singular solutions of the initial boundary value problem for the Stokes system in a power cusp domain ⋮ On singular solutions of time-periodic and steady Stokes problems in a power cusp domain

Cites Work

• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

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