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Please, someone can explain for me what is a bounded domain of class $C^{\infty}$.

And could you give me an example to see the difference between domain and bounded domain of class $C^{\infty}$.

Many thanks!.

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    Context is everything in abbreviated definition queries of this kind. Where did you see the phrase used? – 2017-02-17

1 Answers 1

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Bounded domain : ball $B(0,1)$. Unbounded domain half plane $\mathbb{H}^n$.