R. Farwig

collaborators

2 papers

math.FA2022

Sobolev spaces on arbitrary domains and semigroups generated by fractional Laplacian

Reinhard Farwig, Tsukasa Iwabuchi

We describe a procedure to introduce Sobolev spaces and the semigroup generated by the fractional Dirichlet Laplacian on an arbitrary domain of $R^{d}$ . In particular, the well-defi…

math.FA2020

Maximal $L^{1}$ -regularity of generators for bounded analytic semigroups in Banach spaces

Myong-Hwan Ri, Reinhard Farwig

In this paper, we prove that the generator of any bounded analytic semigroup in $(θ, 1)$ -type real interpolation of its domain and underlying Banach space has maximal $L^{1}$ -regulari…

Sobolev spaces on arbitrary domains and semigroups generated by fractional Laplacian

Maximal L1-regularity of generators for bounded analytic semigroups in Banach spaces

Maximal $L^{1}$ -regularity of generators for bounded analytic semigroups in Banach spaces