2004•Acta Analysis Functionalis ApplicataRequires access

The Nonlinear Functional Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation

Wu Qin-Kuan

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Abstract

The nonlinear functional for singularly perturbed boundary value problems for elliptic equation with boundary perturbation is considered. Under suitable conditions, using stretched variable, theory of differential inequalities the asymptotic behavior of solution for the boundary value problems is studied and the existence and uniqueness of solution for the original problem are discussed.

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What this paper is about

The nonlinear functional for singularly perturbed boundary value problems for elliptic equation with boundary perturbation is considered. Under suitable conditions, using stretched variable, theory of differential inequalities the asymptotic behavior of solution for the boundary value problems is studied and the existence and uniqueness of solution for the original problem are discussed.

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Available abstract

The nonlinear functional for singularly perturbed boundary value problems for elliptic equation with boundary perturbation is considered. Under suitable conditions, using stretched variable, theory of differential inequalities the asymptotic behavior of solution for the boundary value problems is studied and the existence and uniqueness of solution for the original problem are discussed.

Key concepts: Mathematics, Boundary value problem, Uniqueness, Singular perturbation, Mathematical analysis, Method of matched asymptotic expansions, Nonlinear system, Perturbation (astronomy)

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