Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics

From MaRDI portal
Publication:973891

DOI10.1216/JIE-2010-22-1-19zbMath1194.65142MaRDI QIDQ973891

David Natroshvili, Sergey E. Mikhailov, Otar Chkadua

Publication date: 26 May 2010

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)




Related Items

Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domainsAnalysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP in 2D with general right-hand side\(L^p\)-theory of boundary integral operators for domains with unbounded smooth boundaryMixed boundary value problems of pseudo-oscillations of generalized thermo-electro-magneto-elasticity theory for solids with interior cracksOn some mixed-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfacesLocalized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficientsA new family of boundary-domain integral equations for the diffusion equation with variable coefficient in unbounded domainsAnalysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibilityNon-homogeneous Dirichlet-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfacesMixed boundary value problems for the Helmholtz equationLocalized boundary-domain singular integral equations of Dirichlet problem for self-adjoint second-order strongly elliptic PDE systemsUnnamed ItemDirichlet and transmission problems for anisotropic Stokes and Navier-Stokes systems with \(L_\infty\) tensor coefficient under relaxed ellipticity conditionPotentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L strongly elliptic coefficient tensorBoundary-domain integral equations for the diffusion equation in inhomogeneous media based on a new family of parametricesHeat distribution in a plane with a crack with a variable coefficient of thermal conductivityAnalysis of boundary-domain integral equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domainOn the existence of solution of the boundary-domain integral equation system derived from the 2D Dirichlet problem for the diffusion equation with variable coefficient using a novel parametrixOn an alternative approach for mixed boundary value problems for the Laplace equationStudy of steady-state heat distribution in a plane with a crack in the case of variable internal thermal conductivity



Cites Work