TY  - BOOK
AU  - Acosta,Gabriel
AU  - Durán,Ricardo G.
ED  - SpringerLink (Online service)
TI  - Divergence Operator and Related Inequalities
T2  - SpringerBriefs in Mathematics,
SN  - 9781493969852
AV  - QA299.6-433 
U1  - 515 23
PY  - 2017///
CY  - New York, NY
PB  - Springer New York, Imprint: Springer
KW  - Mathematical analysis
KW  - Analysis (Mathematics)
KW  - Mechanics
KW  - Mechanics, Applied
KW  - Analysis
KW  - Solid Mechanics
KW  - Classical Mechanics
N1  - Introduction -- Divergence Operator -- Korn's Inequalities -- Singular Domains -- Basic Equations of Continuum Mechanics -- Powers of the Distance to the Boundary as Ap Weights -- An Auxiliary Result on Holder a Domains; Available to subscribing member institutions only. Доступно лише організаціям членам підписки
N2  - This Brief is mainly devoted to two classical and related results: the existence of a right inverse of the divergence operator and the so-called Korn Inequalities. It is well known that both results are fundamental tools in the analysis of some classic differential equations, particularly in those arising in fluid dynamics and elasticity. Several connections between these two topics and improved Poincaré inequalities are extensively treated. From simple key ideas the book is growing smoothly in complexity. Beginning with the study of these problems on star-shaped domains the arguments are extended first to John domains and then to Hölder α domains where the need of weighted spaces arises naturally. In this fashion, the authors succeed in presenting in an unified and concise way several classic and recent developments in the field. These features certainly makes this Brief useful for students, post-graduate students, and researchers as well
UR  - https://doi.org/10.1007/978-1-4939-6985-2
ER  -