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Trace inequality for $BV(Ω)$ in smooth domains

Published 26 Nov 2024 in math.AP | (2411.17325v2)

Abstract: This work is devoted to prove an optimum version of the trace inequality associated to the embedding $BV(\Omega)\subset L1(\partial\Omega)$. Special emphasis is placed on the regularity that the domain $\Omega$ should exhibit for this result to be valid.

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