Regularity results for Laplace interface problems in two dimensions
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Publication:5945535
DOI10.4171/ZAA/1024zbMath1165.35333MaRDI QIDQ5945535
Publication date: 14 October 2001
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20)
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Cites Work
- A direct boundary integral equation method for transmission problems
- An \(H^S\)-regularity result for the gradient of solutions to elliptic equations with mixed boundary conditions
- Regularity results for elliptic equations in Lipschitz domains
- Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions
- Singularities of Maxwell interface problems
- On the poisson equation with intersecting interfaces
- Elliptic Partial Differential Equations of Second Order
- TRANSMISSION PROBLEMS FOR THE LAPLACE AND ELASTICITY OPERATORS: REGULARITY AND BOUNDARY INTEGRAL FORMULATION
- A posteriori error estimators for elliptic equations with discontinuous coefficients
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