A second look on definition and equivalent norms of Sobolev spaces
نویسندگان
چکیده
منابع مشابه
A Second Look on Definition and Equivalent Norms of Sobolev Spaces
Sobolev’s original definition of his spaces L(Ω) is revisited. It only assumed that Ω ⊆ n is a domain. With elementary methods, essentially based on Poincaré’s inequality for balls (or cubes), the existence of intermediate derivates of functions u ∈ L(Ω) with respect to appropriate norms, and equivalence of these norms is proved.
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 1999
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.1999.126243