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asked Apr 9, 2019 at 20:09

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About the continuity of a function on BV

For a fixed $u \in BV(\mathbb{R}^N)$, consider the function $h:(0,+\infty) \to BV(\mathbb{R}^N)$, given by

$h(t) = u (tx)$.

Does $h$ is continuous?

real-analysis ap.analysis-of-pdes sobolev-spaces calculus-of-variations

asked Apr 9, 2019 at 20:09

33
3