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Results tagged with sobolev-spaces
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user 76318
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.
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0
answers
173
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Regularity of weak solution
I have also posted the question here. Let me explain what difficulties I have. In fact, one may write
\begin{equation}
\partial_1(f-\partial_1 u)=0
\end{equation}
in $\Omega$. Then one may have the fo …
- 223
0
votes
0
answers
326
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Inverse trace theorem for partial trace
A general result is that for a lipschitz bounded domain $\Omega$ in $R^n$, for $u^*\in W^{1-\frac{1}{p},p}(\partial\Omega)$, $1<p<\infty$, there exists $u\in W^{1,p}(\Omega)$ such that $u|_{\partial\O …
- 223
0
votes
Sobolev regularity for systems of elliptic boundary value problems
I think the reason that you can hardly find reference about the vector valued functions is that you can always reduce your situation to scalar ones, since you can always use test function such that it …
- 223