Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation

DOI10.1070/IM8478zbMath1373.35026OpenAlexW2545317524MaRDI QIDQ5349253

V. F. Butuzov

Publication date: 24 August 2017

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8478

zbMATH Keywords

boundary layermultiple root of the degenerate equationglobal domain of attraction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Series solutions to PDEs (35C10) Semilinear elliptic equations (35J61) Semilinear parabolic equations (35K58)

Related Items (10)

ASYMPTOTIC SOLUTION OF THE DIRICHLET PROBLEM FOR A RING, WHEN THE CORRESPONDING UNPERTURBED EQUATION HAS A REGULAR SPECIAL CIRCLE ⋮ Asymptotics of the solution of a Tikhonov system of equations with a multizone boundary layer ⋮ On singularly perturbed systems of ODE with a multiple root of the degenerate equation ⋮ Asymptotics of the solution to the Robin problem for a ring with regularly singular boundary ⋮ On one singularly perturbed system of ordinary differential equations with multiple root of the degenerate equation ⋮ Asymptotic behavior and stability of a stationary boundary-layer solution to a partially dissipative system of equations ⋮ Asymptotic behaviour of a boundary layer solution to a stationary partly dissipative system with a multiple root of the degenerate equation ⋮ Asymptotic expansion of the solution to a partially dissipative system of equations with a multizone boundary layer ⋮ Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications ⋮ Asymptotics of a Spike type contrast structure in a problem with a multiple root of the degenerate equation

Cites Work

• On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation
• Semilinear elliptic boundary value problems with small parameters
• A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation