Estimates in Hölder classes for the solution of an inhomogeneous Dirichlet problem for a singularly perturbed homogeneous convection-diffusion equation

DOI10.1134/S0965542519020039zbMath1422.35031OpenAlexW2946568325MaRDI QIDQ2313434

I. G. Belukhina, Vladimir B. Andreev

Publication date: 19 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0965542519020039

zbMATH Keywords

convection-diffusion equationhalf-planesingularly perturbed equation\(C^{2,\lambda}\) estimates for the solution

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 (1)

Decomposition of the solution to a two-dimensional singularly perturbed convection-diffusion equation with variable coefficients in a square and estimates in Hölder norms

Cites Work

• Unnamed Item
• Regularity and derivative bounds for a convection-diffusion problem with a Neumann outflow condition
• Hölder estimates for the regular component of the solution to a singularly perturbed convection-diffusion equation
• Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection-diffusion equation

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