Spatially periodic contrast structures in singularly perturbed elliptic problems
type: Item
instance of: scholarly article
title: Spatially periodic contrast structures in singularly perturbed elliptic problems
zbMATH Open document ID: 0897.35007
author: V. F. Butuzov
author: N. N. Nefedov
published in: Doklady Mathematics
publication date: 1998-05-24T00:00:00Z
review text: The authors construct the asymptotics (as \(\varepsilon\to 0)\) for the solution of the following boundary value problem: \[ \varepsilon^2 \Delta u=f(u,x,y, \varepsilon), \quad (x,y) \in (0<x<1) \times (-\infty <y< \infty), \] \[ u(0,y, \varepsilon)= g_0(y),\;u(1,y, \varepsilon) =g_1 (y), \] where \(\varepsilon>0\) is a small parameter, and \(f\), \(g_0\) and \(g_1\) are sufficiently smooth functions that are \(L\)-periodic with respect to the variable \(y\).
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35C20
zbMATH DE Number: 1155320
zbMATH Keywords: spike curve
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1155320