$$H^\infty $$ H ∞ -calculus for generalized Stokes operators

Autor: Jan Prüss
Rok vydání: 2018
Předmět:
Zdroj: Journal of Evolution Equations. 18:1543-1574
ISSN: 1424-3202
1424-3199
DOI: 10.1007/s00028-018-0466-y
Popis: Generalized Stokes operators $$A_S$$ arise as linearizations of various models for non-Newtonian fluid flows. Here, it is proved that such operators in fairly general settings of domains and boundary conditions admit a bounded $${\mathcal H}^\infty $$ -calculus in the framework of solenoidal $$L_q$$ -spaces, $$1
Databáze: OpenAIRE