On the effect of irregularity of the domain boundary on the solution of a boundary value problem for the Laplace equation

DOI10.1134/s0012266123050099zbMath1520.35040MaRDI QIDQ6112420

R. V. Shamin, Leonid E. Rossovskii

Publication date: 7 August 2023

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Laplace equationmixed boundary conditionspertubation of the domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Unnamed Item
• Dynamics of an ideal liquid with a free surface in conformal variables
• Eigenvalue problems for nonsmoothly perturbed domains
• Spectral stability of the Neumann Laplacian.
• On the spectral stability of functional-differential equations
• Continuous dependence of eigenvalues on the domain

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