๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The Boundary-value Problem in Domains with Very Rapidly Oscillating Boundary

โœ Scribed by Gregory A. Chechkin; Avner Friedman; Andrey L. Piatnitski

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
146 KB
Volume
231
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Linear elliptic boundary value problems
Linear elliptic boundary value problems in varying domains
โœ Marius Bochniak ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 132 KB

## Abstract The paper is devoted to the study of solutions to linear elliptic boundary value problems in domains depending smoothly on a small perturbation parameter. To this end we transform the boundary value problem onto a fixed reference domain and obtain a problem in a fixed domain but with di

The Numerical Methods for Oscillating Si
The Numerical Methods for Oscillating Singularities in Elliptic Boundary Value Problems
โœ Hae-Soo Oh; Hoonjoo Kim; Sung-Jin Lee ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 278 KB

The singularities near the crack tips of homogeneous materials are monotone of type r ฮฑ and r ฮฑ log ฮด r (depending on the boundary conditions along nonsmooth domains). However, the singularities around the interfacial cracks of the heterogeneous bimaterials are oscillatory of type r ฮฑ sin(ฮต log r ).

Multiplicity Results for Boundary Value
Multiplicity Results for Boundary Value Problems with Potentials Oscillating around Resonance
โœ Patrick Habets; Enrico Serra; Massimo Tarallo ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 440 KB

## Consider the Dirichlet boundary value problem ) u=0, on 0, where 0 is a bounded domain R N and \* 1 is the first eigenvalue of &2 in 0, under Dirichlet boundary conditions. Let . 1 be the corresponding eigenfunction. Such a resonance problem is easy to deal with if the potential G(x, u)= | u 0