R. Farwig

activity

20142022

collaborators

3 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…

math-ph2014

Maximal Regularity in Exponentially Weighted Lebesgue Spaces of the Stokes Operator in Unbounded Cylinders

Myong-Hwan Ri, Reinhard Farwig

We study resolvent estimates and maximal regularity of the Stokes operator in $L^{q}$ -spaces with exponential weights in the axial directions of unbounded cylinders of $R^{n}, n \geq 3$ …

Sobolev spaces on arbitrary domains and semigroups generated by fractional Laplacian

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

Maximal Regularity in Exponentially Weighted Lebesgue Spaces of the Stokes Operator in Unbounded Cylinders

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