The Stokes operator in $L_r$ spaces
The Stokes operator in $L_r$ spaces
Introduction.In this paper we shall report that the Stokes operator generates a bounded analytic semigroup of class Co in L spaces.Moreover, we shall decide domains of fractional powers of the Stokes operator.To show these we shall construct the resolvent of the Stokes operator, using pseudodifferential operators.Y. GIGA [Vol.57 (A),where [, …