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A Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp-norms of the function itself and its derivatives up to a given order.

6 votes
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A possible trace (inequality) defined under negative Sobolev scale

Why is that not possible (if it is not) to define the trace of a function in a very weak regularity space $H^{-s}(\partial \Omega)$? We usually encounter trace theorem as $$Tr: H^{s}(\Omega) \right …
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