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math.AP2021
Uniform Poincaré inequality in o-minimal structures
Anna Valette, Guillaume Valette
We first define the trace on a domain which is definable in an o-minimal structure. We then show that every function vanishing on the boundary in the trace se…
math.AP2020
Poincaré inequality on subanalytic sets
Anna Valette, Guillaume Valette
Let be a subanalytic bounded open subset of , with possibly singular boundary. We show that given , there is a constant such that for any $u\…