Meyers type estimates for approximate solutions of nonlinearelliptic equations and their applications

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2006Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete and Continuous Dynamical Systems - B, volume 6, pages 481-492 (issn: 1531-3492, eissn: 1553-524X,

Copyright policy )

Authors: Y. Efendiev; Alexander Pankov;

doi: 10.3934/dcdsb.2006.6.481

Meyers type estimates for approximate solutions of nonlinearelliptic equations and their applications

- Summary
- Metrics

Abstract

In this paper we obtain Meyers type regularity estimates for approximate solutions of nonlinear elliptic equations. These estimates are used in the analysis of a numerical scheme obtained from a numerical homogenization of nonlinear elliptic equations. Numerical homogenization of nonlinear elliptic equations results in discretization schemes that require additional integrability of the approximate solutions. The latter motivates our work.

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

gold

Fields of Science

Fields of Science