6533b852fe1ef96bd12ab87c
RESEARCH PRODUCT
Exact constants in Poincaré type inequalities for functions with zero mean boundary traces
Sergey RepinAlexander I. NazarovAlexander I. Nazarovsubject
Zero meanPartial differential equationeigenvalue problemsGeneral MathematicsMathematical analysista111General EngineeringBoundary (topology)Value (computer science)Type (model theory)Physics::History of PhysicsPoincare type inequalitiessymbols.namesakeLipschitz domainerror estimatesPoincaré conjecturesymbolsfunctional inequalitiesMathematicsdescription
In this paper, we investigate Poincare type inequalities for the functions having zero mean value on the whole boundary of a Lipschitz domain or on a measurable part of the boundary. We find exact and easily computable constants in these inequalities for some basic domains (rectangles, cubes, and right triangles) and discuss applications of the inequalities to quantitative analysis of partial differential equations. Copyright © 2014 John Wiley & Sons, Ltd.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-10-01 | Mathematical Methods in the Applied Sciences |