Hölder estimates for the regular component of the solution to a singularly perturbed convection-diffusion equation

DOI10.1134/S0965542517120053zbMath1387.35077OpenAlexW2792599858MaRDI QIDQ1746365

Vladimir B. Andreev

Publication date: 25 April 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517120053

zbMATH Keywords

constant coefficientsHölder spaceshomogeneous Dirichlet problemunimprovable estimatesproblem in a half-plane

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25)

Related Items (2)

Decomposition of the solution to a two-dimensional singularly perturbed convection-diffusion equation with variable coefficients in a square and estimates in Hölder norms ⋮ Estimates in Hölder classes for the solution of an inhomogeneous Dirichlet problem for a singularly perturbed homogeneous convection-diffusion equation

Cites Work

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• Full analysis of the Green's function for a singularly perturbed convection-diffusion problem in three dimensions
• 10.1007/s11470-008-1007-5
• The optimization of methods of solving boundary value problems with a boundary layer

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