Screen LibraryDivergence Operator and Related Inequalities /
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 a...
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| Published: |
Springer New York : Imprint: Springer,
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| Publisher Address: | New York, NY : |
| Publication Dates: | 2017. |
| Literature type: | eBook |
| Language: | English |
| Series: |
SpringerBriefs in Mathematics,
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| Online Access: |
http://dx.doi.org/10.1007/978-1-4939-6985-2 |
| Summary: |
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 Poincar 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 ext |
| Carrier Form: | 1 online resource (XIII, 124 pages) : illustrations. |
| ISBN: | 9781493969852 |
| Index Number: | QA299 |
| CLC: | O17 |
| Contents: | 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. |