Download Divergence Operator and Related Inequalities (SpringerBriefs by Gabriel Acosta,Ricardo G. Durán PDF

By Gabriel Acosta,Ricardo G. Durán

This short is especially dedicated to classical and similar effects: the life of a correct inverse of the divergence operator and the so-called Korn Inequalities. it truly is renowned that either effects are primary instruments within the research of a few vintage differential equations, rather in these coming up in fluid dynamics and elasticity. Several connections among those issues and more suitable Poincaré inequalities are widely taken care of. From uncomplicated key principles the ebook is starting to be easily in complexity. starting with the examine of those difficulties on star-shaped domain names the arguments are prolonged first to John domain names after which to Hölder  α domain names the place the necessity of weighted areas arises clearly. during this model, the authors achieve providing in an unified and concise approach a number of vintage and up to date advancements within the box. those beneficial properties definitely makes this short important for college kids, post-graduate scholars, and researchers as well.

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