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On a Review of the Sobolev Space | Asian Journal of Pure and Applied Mathematics

Since the middle of the nineteenth century, Sobolev, a branch of Functional Analysis, has proved highly beneficial in many fields of pure mathematics, including Ordinary Differential Equations, Numerical Analysis, and so on, and has now evolved into Sobolev Space. This review paper is noteworthy because it shows intriguing theoretic definitions and findings in the Sobolev Space, with outstanding details on the Real Index, integration by part, specific inequalities, and the Embedding Theorem, and a mathematical remark at the end.



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