On the mixed problem for harmonic functions in a 2-D exterior cracked domain with Neumann condition on cracks
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Publication:5424294
DOI10.1090/S0033-569X-07-01046-1zbMath1386.35054OpenAlexW2084285580MaRDI QIDQ5424294
Publication date: 5 November 2007
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0033-569x-07-01046-1
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (3)
The Dirichlet problem for the Laplacian with discontinuous boundary data in a 2D multiply connected exterior domain ⋮ Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain ⋮ Mixed boundary value problems of diffraction by a half‐plane with an obstacle perpendicular to the boundary
Cites Work
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- The 2-dimensional Dirichlet problem in an external domain with cuts
- Solution of the Dirichlet problem for the Laplace equation.
- Neumann's problem for the Helmholtz equation outside cuts in the plane
- Layer potentials and boundary value problems for the helmholtz equation in the complement of a thin obstacle
- THE ANGULAR POTENTIAL AND SOME OF ITS APPLICATIONS
- On the electric current from electrodes in a magnetized semiconductor film
- Wave propagation in a 2-D external domain bounded by closed and open curves
- The oblique derivative problem for the Helmholtz equation and scattering tidal waves
- An explicit solution of the pseudo‐hyperbolic initial boundary value problem in a multiply connected region
- The Neumann problem in a 2-D exterior domain with cuts and singularities at the tips
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