On a Review of the Sobolev Space

Main Article Content

Eziokwu, C. Emmanuel

Abstract

Sobolev, an aspect of Functional Analysis has since the middle of nineteenth century been very useful in many areas of pure mathematics such as Ordinary Differential Equation, Numerical Analysis etc. and now developed into what is known as Sobolev Space. Due to its growing relevance in analytical mathematics, this review paper becomes important in that it displays exciting theoretic definitions and results in the Sobolev Space with impressive details on the Real Index, integration by part, special inequalities and the Embedding Theorem, while towards the end of the work was conclusion in the form of a mathematical remark.

Keywords:
Sobolev space, norm and Hilbert space, Friedrich and Poincare inequalities, the embedding theorem.

Article Details

How to Cite
Emmanuel, E. C. (2020). On a Review of the Sobolev Space. Asian Journal of Pure and Applied Mathematics, 2(1), 1-8. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/801
Section
Review Article

References

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