ASYMPTOTIC SOLUTION OF THE DIRICHLET PROBLEM FOR A RING, WHEN THE CORRESPONDING UNPERTURBED EQUATION HAS A REGULAR SPECIAL CIRCLE

DOI10.17223/19988621/63/4zbMath1501.35159OpenAlexW3011371910MaRDI QIDQ5046271

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Publication date: 28 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu754

zbMATH Keywords

Dirichlet problempertubationlinear inhomogeneous second-order elliptic equation in a ring

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Perturbations in context of PDEs (35B20)

Related Items (3)

Asymptotics of the solution of bisingularly perturbed first boundary value problem ⋮ Asymptotic solution of the Robin problem with a regularly singular point ⋮ Singularly perturbed ordinary differential equation with turning point and interior layer

Cites Work

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• The first boundary value problem for \(\epsilon\Delta u+A(x,y)u_x+B(x,y)u_y+C(x,y)u =D(x,y)\) for small \(\epsilon\)
• ASYMPTOTICS OF THE SOLUTION OF THE СAUCHY PROBLEM IN THE CASE OF A CHANGE IN THE STABILITY OF A STATIONARY POINT IN THE PLANE OF “RAPID MOTIONS”
• ASYMPTOTIC EXPANSION OF THE SOLUTION OF THE DIRICHLET PROBLEM FOR A RING WITH A SINGULARITY ON THE BOUNDARY
• Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation
• Singularly perturbed problems with a turning point: The non-compatible case
• Boundary Layers in Linear Elliptic Singular Perturbation Problems

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