Polygonal interface problems:higher regularity results

DOI10.1080/03605309908820734zbMath0731.35030OpenAlexW2062997093MaRDI QIDQ3356743

Serge Nicaise

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/03605309908820734

zbMATH Keywords

oblique derivative problemsinterface problemspolygonal topological networks

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25)

Related Items (8)

Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions ⋮ Numerical analysis for time-dependent advection-diffusion problems with random discontinuous coefficients ⋮ Immersed virtual element methods for elliptic interface problems in two dimensions ⋮ Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement ⋮ Regularity of the solutions for elliptic problems on nonsmooth domains in ℝ³. Part II: Regularity in neighbourhoods of edges ⋮ Sixth order compact finite difference schemes for Poisson interface problems with singular sources ⋮ Differential equations in Hilbert spaces and applications to boundary value problems in nonsmooth domains ⋮ On a coupled problem between the plate equation and the membrane equation on polygons

Cites Work

• Unnamed Item
• Oblique derivative and interface problems on polygonal domains and networks

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