Asymptotic approximation of solution of boundary-value problem for a singularly perturbed parabolic equation in the critical case

DOI10.1007/BF01157029zbMath0628.35049MaRDI QIDQ1093089

V. F. Butuzov, Leonid V. Kalachev

Publication date: 1986

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

singular perturbationasymptotic expansionsmall parameterboundary layersemilinear vector parabolic equation

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20)

Related Items

Angular boundary layer in boundary value problems for singularly perturbed parabolic equations with quadratic nonlinearity, Singularly perturbed system of parabolic equations in the critical case, A system of singularly perturbed parabolic equations with a power boundary layer, Singularly perturbed parabolic problems with multidimensional boundary layers, Asymptotics of the solution of a parabolic linear system with a small parameter

Cites Work

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• Singularly disturbed elliptic boundary value problem in a rectangle in the critical case