메뉴 건너뛰기




Volumn 1, Issue 1, 2001, Pages 115-142

Lp-Theory of the Stokes equation in a half space

Author keywords

Analytic semigroups; H calculus; Maximal Lp regularity; R boundedness; Resolvent estimates; Stokes system

Indexed keywords


EID: 0042851359     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001362     Document Type: Article
Times cited : (108)

References (21)
  • 1
    • 0011360475 scopus 로고    scopus 로고
    • On the strong solvability of the Navier-Stokes operator equations
    • AMANN, H., On the strong solvability of the Navier-Stokes operator equations. J. Math. Fluid Mech 2 (2000), 16-98.
    • (2000) J. Math. Fluid Mech , vol.2 , pp. 16-98
    • Amann, H.1
  • 2
    • 0000117890 scopus 로고
    • On the semigroup of the Stokes operator for exterior domains
    • BORCHERS, W. and SOHR, H., On the semigroup of the Stokes operator for exterior domains. Math.Z. 196 (1987), 415-425.
    • (1987) Math.Z. , vol.196 , pp. 415-425
    • Borchers, W.1    Sohr, H.2
  • 6
    • 84972568649 scopus 로고
    • Generalized resolvent estimates for the Stokes operator in bounded and unbounded domains
    • FARWIG, R. and SOHR, H., Generalized resolvent estimates for the Stokes operator in bounded and unbounded domains. J. Math. Soc. Japan, 46 (1994), 607-643.
    • (1994) J. Math. Soc. Japan , vol.46 , pp. 607-643
    • Farwig, R.1    Sohr, H.2
  • 7
    • 34250247917 scopus 로고
    • p-spaces
    • p-spaces. Math.Z. 178 (1981), 297-329.
    • (1981) Math.Z. , vol.178 , pp. 297-329
    • Giga, Y.1
  • 9
    • 0033458261 scopus 로고    scopus 로고
    • On estimates in Hardy spaces for the Stokes flow in a half space
    • GIGA, Y., MATSUI, S. and SHIMIZU, Y., On estimates in Hardy spaces for the Stokes flow in a half space. Math. Z. 331 (1999), 383-396.
    • (1999) Math. Z. , vol.331 , pp. 383-396
    • Giga, Y.1    Matsui, S.2    Shimizu, Y.3
  • 11
    • 0002460928 scopus 로고
    • p estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
    • p estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains. J. of Funct. Anal. 102 (1991), 72-94.
    • (1991) J. of Funct. Anal. , vol.102 , pp. 72-94
    • Giga, Y.1    Sohr, H.2
  • 12
    • 0012485651 scopus 로고    scopus 로고
    • Operator valued Fourier multipliers
    • J. Escher, G. Simonett (eds.), Topics in Nonlinear Analysis, The Herbert Amann anniversary volume
    • HIEBER, M., Operator valued Fourier multipliers. In: J. Escher, G. Simonett (eds.), Topics in Nonlinear Analysis, The Herbert Amann anniversary volume. Birkhäuser Prog. Nonl. Diff. Eq. 35 (1999), 363-380.
    • (1999) Birkhäuser Prog. Nonl. Diff. Eq. , vol.35 , pp. 363-380
    • Hieber, M.1
  • 14
    • 0032350756 scopus 로고    scopus 로고
    • 1 -solutions of the Navier-Stokes equations in exterior domains
    • 1 -solutions of the Navier-Stokes equations in exterior domains. Math. Ann. 312 (1998), 319-340.
    • (1998) Math. Ann. , vol.312 , pp. 319-340
    • Kozono, H.1
  • 16
    • 0001781565 scopus 로고    scopus 로고
    • Hardy spaces of solenoidal vector fields with applications to the Navier-Stokes equations
    • MIYAKAWA, T., Hardy spaces of solenoidal vector fields with applications to the Navier-Stokes equations. Kyushu J. Math. 50 (1997), 1-64.
    • (1997) Kyushu J. Math. , vol.50 , pp. 1-64
    • Miyakawa, T.1
  • 18
    • 34250298739 scopus 로고
    • Estimates for solutions of nonstationary Navier-Stokes equations
    • SOLONNIKOV, V., Estimates for solutions of nonstationary Navier-Stokes equations. J. Soviet. Math. 8 (1977), 467-529.
    • (1977) J. Soviet. Math. , vol.8 , pp. 467-529
    • Solonnikov, V.1
  • 21
    • 0004834156 scopus 로고    scopus 로고
    • The Navier-Stokes equation - A never ending challenge?
    • WIEGNER, M., The Navier-Stokes equation - a never ending challenge? Jahresberichte DMV 181 (1999), 1-25.
    • (1999) Jahresberichte DMV , vol.181 , pp. 1-25
    • Wiegner, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.