Singular perturbation for the Dirichlet boundary control of elliptic problems

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Detecting the location of the boundary layers in singular perturbation problems with general linear non-local boundary ‎conditions‎

Singular perturbation problems have been studied by many mathematicians. Since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or non-formation of boundary layers should be specified. This paper, investigates this issue for a singular perturbation problem including a first order differential equation with gen...

متن کامل

Singular perturbation problems for nonlinear elliptic equations in degenerate settings

Here N ≥ 1, g(s) ∈ C(R,R) is a function with a subcritical growth, V (x) ∈ C(R ,R) is a positive function and 0 < ε 1. Among solutions of (0.1)ε, we are interested in concentrating families (uε) of solutions, which have the following behavior: (i) uε(x) has a local maximum at xε ∈ R and xε converges to some x0 ∈ R as ε → 0. (ii) rescaled function vε(y) = uε(εy + xε) converges as ε → 0 to a solu...

متن کامل

Dirichlet control of elliptic state constrained problems

We study a state constrained Dirichlet optimal control problem and derive a priori error estimates for its finite element discretization. Additional control constraints may or may not be included in the formulation. The pointwise state constraints are prescribed in the interior of a convex polygonal domain. We obtain a priori error estimates for the L2(Γ)-norm of order h1−1/p for pure state con...

متن کامل

Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems

Pseudospectral methods are investigated for singularly perturbed boundary value problems for ordinary diierential equations which possess boundary layers. It is well known that if the boundary layer is very small then a very large number of spectral collocation points is required to obtain accurate solutions. We introduce here a new eeective procedure, based on coordinate stretching and the Che...

متن کامل

Exact Boundary Behavior of Solutions to Singular Nonlinear Dirichlet Problems

In this article we analyze the exact boundary behavior of solutions to the singular nonlinear Dirichlet problem −∆u = b(x)g(u) + λa(x)f(u), u > 0, x ∈ Ω, u|∂Ω = 0, where Ω is a bounded domain with smooth boundary in RN , λ > 0, g ∈ C1((0,∞), (0,∞)), lims→0+ g(s) = ∞, b, a ∈ Cα loc(Ω), are positive, but may vanish or be singular on the boundary, and f ∈ C([0,∞), [0,∞)).

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis

سال: 2003

ISSN: 0764-583X,1290-3841

DOI: 10.1051/m2an:2003057