WebAug 15, 2001 · Dirichlet problem non-smooth domains nonlinear diffusion degenerate and singular parabolic equations boundary regularity References REFERENCES U.G. Abdulla Local structure of solutions of the Dirichlet problem for N -dimensional reaction-diffusion equations in bounded domains Adv. Differential Equations, 2 ( 1999), pp. 197 - 224 WebWe consider a first order strictly hyperbolic system of four equations with constant coefficients in a bounded domain with piecewise boundary consisting of eight smooth noncharacteristic arcs. In thi
The Dirichlet Problem in Non-Smooth Domains
WebMar 15, 2024 · , A finite element method for interface problems in domains with smooth boundaries and interfaces, Adv. Comput. Math. 6 (1996) 109 – 138. Google Scholar Cross Ref [6] Berthelsen P.A., A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions, J. Comput. Webthe DtN maps on non-smooth boundaries in the Riemannian setting, the DtN operators for the Helmholtz equation and the DtN operators on di˘erential forms. ... of the Dirichlet problem on Lipschitz domains in Riemannian manifolds). The eigenfunctions of D are the restrictions of the Steklov eigenfunctions to the boundary, and form an orthogonal ... iti conference brighton
Global C2,α estimates for the Monge-Ampère equation on …
Webdomain. Suppose that the Lp′ Dirichlet problem for L on Ω is solvable. Then either the Lp regularity problem (R) p is solvable or (R) q is not solvable for any 1 <∞. We remark that for Laplace’s equation in a Lipschitz domain Ω, the Dirichlet problem (D) p′ and the regularity problem (R) p are solvable for 1 WebThis paper is the second in a series of three devoted to the analysis of the regularity of solutions of elliptic problems on nonsmooth domains in ℝ 3.The present paper concentrates on the regularity of solutions of the Poisson equation in neighbourhoods of edges of a polyhedral domain in the framework of the weighted Sobolev spaces and countably … WebElliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains. Author: Michail Borsuk: Publisher: Elsevier: Total Pages: 538: Release: 2006-01-12: ISBN-10: 0080461735: ISBN-13: 9780080461731: ... Book Synopsis Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains by : Michail Borsuk ... itic one call mo