메뉴 건너뛰기




Volumn 7, Issue 2, 2005, Pages 223-260

Reduced and generalized stokes resolvent equations in asymptotically flat layers, part II: H ∞-calculus

Author keywords

Boundary value problems for pseudodifferential operators; Free boundary value problems; Non smooth pseudodifferential operators; Stokes equations

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYERS; BOUNDARY VALUE PROBLEMS; FLUID DYNAMICS; MATHEMATICAL OPERATORS; MIXTURES; PERTURBATION TECHNIQUES; SET THEORY; THEOREM PROVING;

EID: 21244500152     PISSN: 14226928     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00021-004-0117-7     Document Type: Article
Times cited : (37)

References (25)
  • 1
    • 0346673685 scopus 로고    scopus 로고
    • Bounded imaginary powers of the Stokes operator in an infinite layer
    • H. ABELS, Bounded imaginary powers of the Stokes operator in an infinite layer, J. Evol. Eq. 2 (2002), 439-457.
    • (2002) J. Evol. Eq. , vol.2 , pp. 439-457
    • Abels, H.1
  • 2
    • 21244439657 scopus 로고    scopus 로고
    • Generalized Stokes resolvent equations in an infinite layer with mixed boundary conditions
    • Preprint, TU Darmstadt, to appear
    • H. ABELS, Generalized Stokes resolvent equations in an infinite layer with mixed boundary conditions, Preprint, TU Darmstadt, 2003, to appear in Math. Nachr.
    • (2003) Math. Nachr.
    • Abels, H.1
  • 3
    • 21244433913 scopus 로고    scopus 로고
    • Reduced and generalized Stokes resolvent equations in asymptotically flat layers, part I: Unique solvability
    • H. ABELS, Reduced and generalized Stokes resolvent equations in asymptotically flat layers, part I: unique solvability, J. Math. Fluid Mech. 7 (2005), 201-222.
    • (2005) J. Math. Fluid Mech. , vol.7 , pp. 201-222
    • Abels, H.1
  • 6
    • 0001912013 scopus 로고
    • Boundary problems for pseudo-differential operators
    • L. BOUTET DE MONVEL, Boundary problems for pseudo-differential operators, Acta Math. 126 (1971), 11-51.
    • (1971) Acta Math. , vol.126 , pp. 11-51
    • De Monvel, L.B.1
  • 7
    • 0037874989 scopus 로고
    • On the closedness of the sum of two closed operators
    • G. DORE and A. VENNI, On the closedness of the sum of two closed operators, Math. Z. 196 (1987), 189-201.
    • (1987) Math. Z. , vol.196 , pp. 189-201
    • Dore, G.1    Venni, A.2
  • 8
    • 34250247917 scopus 로고
    • r spaces
    • r spaces, Math. Z. 178 (1981), 297-329.
    • (1981) Math. Z. , vol.178 , pp. 297-329
    • Giga, Y.1
  • 11
    • 84972535476 scopus 로고
    • p Sobolev spaces
    • p Sobolev spaces, Diff. Int. Eq. 8 (1995), 1013-1046.
    • (1995) Diff. Int. Eq. , vol.8 , pp. 1013-1046
    • Grubb, G.1
  • 13
    • 7444265256 scopus 로고    scopus 로고
    • p Sobolev spaces over interior and exterior domains
    • Theory of the Navier-Stokes equations, J. G. HEYWOOD, K. MASUDA, R. RAUTMANN, V. SOLONNIKOV, eds., World Scientific, Singapore
    • p Sobolev spaces over interior and exterior domains, in: Theory of the Navier-Stokes equations, J. G. HEYWOOD, K. MASUDA, R. RAUTMANN, V. SOLONNIKOV, eds., Ser. Adv. Math Appl. Sci. 47, World Scientific, Singapore, 1998, 46-63.
    • (1998) Ser. Adv. Math Appl. Sci. , vol.47 , pp. 46-63
    • Grubb, G.1
  • 15
    • 0005277028 scopus 로고
    • Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods
    • G. GRUBB and V. A. SOLONNIKOV, Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods, Math. Scand. 69 (1991), 217-290.
    • (1991) Math. Scand. , vol.69 , pp. 217-290
    • Grubb, G.1    Solonnikov, V.A.2
  • 17
    • 0000022815 scopus 로고
    • Pseudo-differential operators with non-regular symbols and applications
    • H. KUMANO-GO and M. NAGASE, Pseudo-differential operators with non-regular symbols and applications, Funkcial Ekvac. 21 (1978), 151-192.
    • (1978) Funkcial Ekvac. , vol.21 , pp. 151-192
    • Kumano-Go, H.1    Nagase, M.2
  • 18
    • 0001309606 scopus 로고
    • ∞-calculus
    • Miniconference on Operator Theory and Partial Differential Equations, B. JEFFERIES, A. MCINTOSH, W. RICKER (eds.)
    • ∞-calculus, in: Miniconference on Operator Theory and Partial Differential Equations, B. JEFFERIES, A. MCINTOSH, W. RICKER (eds.), Proc. Center Math. Anal. A.N.U., 14, 210-231, 1986.
    • (1986) Proc. Center Math. Anal. A.N.U. , vol.14 , pp. 210-231
    • Mcintosh, A.1
  • 21
    • 84968481484 scopus 로고
    • Note on Singular Integrals
    • E. M. STEIN, Note on Singular Integrals, Proc. AMS 8 (1957), 250-254.
    • (1957) Proc. AMS , vol.8 , pp. 250-254
    • Stein, E.M.1
  • 22
    • 0004136765 scopus 로고
    • Princeton Hall Press, Princeton, New Jersey
    • E. M. STEIN, Harmonic Analysis, Princeton Hall Press, Princeton, New Jersey, 1993.
    • (1993) Harmonic Analysis
    • Stein, E.M.1
  • 24
    • 0038161288 scopus 로고    scopus 로고
    • Mathematical Surveys and Monographs, AMS
    • M. E. TAYLOR, Tools for PDE, Mathematical Surveys and Monographs, AMS, 2000.
    • (2000) Tools for PDE
    • Taylor, M.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.