Functional calculus and semilinear evolution equations for the Taibleson operator on non-Archimedean local fields

Cédric Arhancet, Christoph Kriegler

For any non-Archimedean local field $\mathbb{K}$ and any integer $n\ge 1$, we show that the Taibleson operator admits a bounded ${\mathrm{H}}^{\infty }(\hat{I}{\pounds }_{\hat{I}}¸)$ functional calculus on…