Convergence rates, Part II

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In Chapter 3 we establish the O(√ε) error estimates for some two-scale expansions in H1 and the O(ε) convergence rate for solutions uε in L2. The results are obtained without any smoothness assumption on the coefficient matrix A. In this chapter we return to the problem of convergence rates and prove various results under some additional smoothness assumptions, using uniform regularity estimates obtained in Chapters 4–6. We shall be mainly interested in the sharp O(ε) or near sharp rates of convergence.

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
Number of pages35
StatePublished - 2018

Publication series

NameOperator Theory: Advances and Applications
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

ASJC Scopus subject areas

  • Analysis


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