\(H^2\) convergence of solutions of a biharmonic problem on a truncated convex sector near the angle \(\pi\).
DOI10.21136/AM.2021.0284-19OpenAlexW3135695979MaRDI QIDQ2034048
Abdelkader Tami, Mounir Tlemcani
Publication date: 18 June 2021
Published in: Applications of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21136/am.2021.0284-19
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) A priori estimates in context of PDEs (35B45) Partial differential equations of mathematical physics and other areas of application (35Q99) Singular elliptic equations (35J75)
Cites Work
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- The elliptic problems in a family of planar open sets.
- Coefficients des singularités pour des problèmes aux limites elliptiques sur un domaine à points coniques. I : Résultats généraux pour le problème de Dirichlet
- 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
- On the boundary value problem of the biharmonic operator on domains with angular corners
- On a Problem of BABUŠKA (Stable Asymptotics of the Solution to the DIRICHLET Problem for Elliptic Equations of Second Order in Domains with Angular Points)
- General edge asymptotics of solutions of second-order elliptic boundary value problems I
- General edge asymptotics of solutions of second-order elliptic boundary value problems II
- Polygonal interface problems for the biharmonic operator
- General interface problems—I
- General interface problems—II
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: \(H^2\) convergence of solutions of a biharmonic problem on a truncated convex sector near the angle \(\pi\).
