# actual evaluation – Sobolev Embedding for fractional Sobolev Spaces Answer

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actual evaluation – Sobolev Embedding for fractional Sobolev Spaces

Let $$Omegasubsetmathbb{R}^2$$ breathe launch and of sophistication $$C^1$$. The Sobolev Embedding Theorem implies that if $$uin W^{okay,2}(Omega)$$ and if $$kinmathbb{N}: kgeq 2$$, then $$u$$ is steady. Does there live an analogous outcome for fractional Sobolev Spaces? For instance, if $$uin W^{1+theta,2}(Omega)$$ for some $$thetain (0,1)$$, then can we are saying that $$u$$ is steady?

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