Singular perturbations in elliptic boundary value problems

DOI10.1016/0022-0396(76)90105-4zbMath0317.35033OpenAlexW2059711528MaRDI QIDQ1221861

Charles J. Holland

Publication date: 1976

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(76)90105-4

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

On the Dirichlet problem for quasilinear elliptic equation with a small parameter ⋮ The Dirichlet problem for singularly perturbed quasilinear elliptic equations ⋮ Perturbed quasilinear dirichlet problems with isolated turning poInts ⋮ Finite size Lyapunov exponent at a saddle point ⋮ Perturbed elliptic problems with essential nonlinearities ⋮ On the uniformly valid asymptotic solution of non-linear Dirichlet problem ⋮ Singularly perturbed problems in partial differential equations: A survey

Cites Work

• Stochastically perturbed dynamical systems
• Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type
• A boundary value problem for certain nonlinear second order differential equations with a small parameter
• Linear and quasilinear elliptic equations
• 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 \(\epsilon\)
• Boundary Layers in Linear Elliptic Singular Perturbation Problems
• Regular degeneration and boundary layer for linear differential equations with small parameter
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