The Nonlinear Functional Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation
Wu Qin-Kuan
Abstract
Wu Qin-Kuan
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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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)