Exponential descent of solutions of elliptic singular perturbation problems

DOI10.1080/03605308408820330zbMath0541.35025OpenAlexW2009945683MaRDI QIDQ3327000

Shoshana Kamin

Publication date: 1984

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308408820330

zbMATH Keywords

exponential descent

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25)

Related Items (10)

Singular perturbation problems and the Hamilton-Jacobi equation ⋮ A hyperbolic approach to elliptic and parabolic singular perturbation problems ⋮ Unnamed Item ⋮ Remarks on elliptic singular perturbation problems ⋮ Elliptic perturbation for linear and nonlinear equations with a singular point ⋮ Semi-classical limits of the first eigenfunction and concentration on the recurrent sets of a dynamical system ⋮ Singular perturbation for the first eigenfunction and blow-up analysis ⋮ A Simple, Direct Proof of Uniqueness for Solutions of the Hamilton-Jacobi Equations of Eikonal Type ⋮ Nonlinear PDE with vector fields ⋮ Singularly perturbed problems in partial differential equations: A survey

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• Exit probabilities and optimal stochastic control
• 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 \(\epsilon\)
• Exponential Leveling for Stochastically Perturbed Dynamical Systems
• GENERALIZED SOLUTIONS OF THE HAMILTON-JACOBI EQUATIONS OF EIKONAL TYPE. I. FORMULATION OF THE PROBLEMS; EXISTENCE, UNIQUENESS AND STABILITY THEOREMS; SOME PROPERTIES OF THE SOLUTIONS

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