Fourier method for the Neumann problem on a torus

DOI10.1007/s13324-023-00836-4zbMath1527.31010OpenAlexW4386747835MaRDI QIDQ6076323

João Pedro Morais, Z. Ashtab, R. Michael Porter

Publication date: 17 October 2023

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-023-00836-4

zbMATH Keywords

torusLaplacianNeumann problemtoroidal harmonicssolenoidDirichlet-to-Neumann map

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Cites Work

• Numerical simulation of gravity waves
• An integral equation technique for the exterior and interior Neumann problem in toroidal regions
• Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
• The Dirichlet-Neumann problem for the sphere
• Distributions, Sobolev spaces, elliptic equations
• Harmonic Function Theory
• Generalized Heine’s identity for complex Fourier series of binomials
• Determining conductivity by boundary measurements II. Interior results
• Classical Fourier Analysis
• Inverse problems for partial differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item