The transmission problem in domains with a corner point for the Laplace operator in weighted Hölder spaces

DOI10.1016/j.jde.2010.06.003zbMath1200.35079OpenAlexW2033531506MaRDI QIDQ712177

Nataliya Vasylyeva, Borys V. Bazaliy

Publication date: 28 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.06.003

zbMATH Keywords

elliptic equationsnonsmooth domainstransmission problemweighted Hölder spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45)

Related Items (max. 100)

On a class of functional difference equations: explicit solutions, asymptotic behavior and applications ⋮ On the solvability of a transmission problem for the Laplace operator with a dynamic boundary condition on a nonregular interface ⋮ The Muskat problem with surface tension and a nonregular initial interface ⋮ Ground-state solutions to a Kirchhoff-type transmission problem ⋮ Solvability of a free-boundary problem for a heterogeneous elastic body ⋮ Ground-state solutions to Kirchhoff-type transmission problems with critical perturbation ⋮ Mixed Dirichlet-Transmission Problems in Non-smooth Domains

Cites Work

• Régularité de la solution d'un problème de transmission
• The Hele-Shaw problem with surface tension in a half-plane: a model problem
• Estimates in 𝐿_{𝑝} and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary
• Boundary-value problems for partial differential equations in non-smooth domains
• Oblique derivative and interface problems on polygonal domains and networks
• Equivalent Norms for Sobolev Spaces
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