A singular integral of the composite operator

We establish the Poincaré-type inequalities for the composition of the homotopy operator and the projection operator. We also obtain some estimates for the integral of the composite operator with a singular density.

Saved in:
Bibliographic Details
Published inApplied mathematics letters Vol. 22; no. 8; pp. 1271 - 1275
Main Authors Ding, Shusen, Liu, Bing
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.08.2009
Elsevier
Subjects
A-harmonic equations
Differential forms
Exact sciences and technology
Integral equations
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Operator theory
Poincaré-type inequality
Sciences and techniques of general use
The homotopy operator and the projection operator
Differential forms
Poincaré-type inequality
The homotopy operator and the projection operator
A-harmonic equations
Integral operator
Projection operator
Applied mathematics
Homotopy
The homotopy operator and the projection
operator
Online AccessGet full text

Cover

More Information
Summary:We establish the Poincaré-type inequalities for the composition of the homotopy operator and the projection operator. We also obtain some estimates for the integral of the composite operator with a singular density.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2009.01.041