Boundedness of imaginary powers of the stokes operator in an infinite layer

Journal of Evolution Equations

Volumn 2, Issue 4, 2002, Pages 439-457

  Abels, Helmut ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Bounded imaginary powers; Stokes equations; Stokes operator

Indexed keywords

EID: 0346673685     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00012599     Document Type: Article

References (12)

1. ABE, T. and SHIBATA, Y., On a generalized resolvent estimate of the Stokes equations on an infinite layer, part 1 |λ| > 0 case. Preprint, Waseda University, Tokyo.
2. ABE, T. and SHIBATA, Y., On a generalized resolvent estimate of the Stokes equations on an infinite layer, part 2 λ = 0 case. Preprint, Waseda University, Tokyo.
3. AMANN, H., Linear and Quasilinear Parabolic Problems. Birkhäuser, 1995.
4. BERGH, J. and LÖFSTRÖM, J., Interpolation Spaces. Springer, Berlin - Heidelberg - New York, 1976.
5. DORE, G., and VENNI, A., On the Closedness of the Sum of Two Closed Operators. Math. Z. 196 (1987), 189-201.
6. r Spaces. Arch. Rational Mech. Anal. 89 (1985), 251-265.
7. GIGA, Y. and SOHR, H., On the Stokes operator in exterior domains. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 36 (1989), 103-130.
8. p Estimates for the Cauchy Problem with Applications to the Navier-Stokes Equations in Exterior Domains. J. Funct. Anal. 102 (1991), 72-94.
9. MIYAKAWA, Y., The Helmholtz Decomposition of Vector Fields in Some Unbounded Domains. Math. J. Toyama Univ. 17 (1994), 115-149.
10. B. Amer. J. Math. 93 (1971), 299-309.
11. STEIN, E. M., Singular Integrals and Differentiability Properties of Functions. Princeton Hall Press, Princeton, New Jersey, 1970.
12. WIEGNER, M., Resolvent Estimates for the Stokes Operator on an Infinite Layer. Preprint.