A. Rozanova-Pierrat

Tangential and normal traces for extension domains with non-Lipschitz boundaries

We generalize the classical vector-valued tangential and normal trace theory on Lipschitz domains to the setting of non-Lipschitz $H^1$-extension domains, which includes domains with fractal boundaries such as the Koch snowflake. We define and study these operators based on the surjectivity of the trace operator for el...