In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of L-norms of the function together with its ...
Sobolev spaces are Banach spaces of smooth functions of one and several variables with conditions imposed on a few first (distributional) partial derivatives.
Let us briefly motivate our study of distributions and Sobolev spaces. ... Definition 1.2 The space of test functions in Ω, denoted D(Ω), is the.
作者：EW WeissteinThis space is a Hilbert space for the inner product. <f,g>_(s,Omega)=sum_(|alpha. (3). Sobolev spaces play an important role in the theory of partial ... 2004 —
作者：E Brué2020 被引用次数：13 — In this first section we prove the sharp Sobolev embedding inequality for the space Xy,p (see Theorem 1.5), an approximation result in ...