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Volumn 105, Issue 5, 2001, Pages 2448-2484

Lp-estimates for solutions to the initial boundary-value problem for the generalized stokes system in a bounded domain

(1)  Solonnikov, V A a  

a NONE

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EID: 0041603777     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1023/A:1011321430954     Document Type: Article
Times cited : (62)

References (27)
  • 2
    • 0003804415 scopus 로고
    • English Translation of the 1st ed.: Gordon and Breach Science Publishers, New York - London - Paris
    • [English Translation of the 1st ed.: The Mathematical Theory of Viscous Incompressible Flow, Gordon and Breach Science Publishers, New York - London - Paris (1969)].
    • (1969) The Mathematical Theory of Viscous Incompressible Flow
  • 6
    • 0001128175 scopus 로고
    • Estimates for solutions to the nonstationary linearized Navie-Stokes system
    • V. A. Solonnikov, "Estimates for solutions to the nonstationary linearized Navie-Stokes system," Tr. Mat. Inst. Steklova [in Russian], 70, 213-317 (1964).
    • (1964) Tr. Mat. Inst. Steklova [in Russian] , vol.70 , pp. 213-317
    • Solonnikov, V.A.1
  • 7
    • 0000863299 scopus 로고
    • Estimates for solutions to the nonstationary Navie-Stokes system
    • V. A. Solonnikov, "Estimates for solutions to the nonstationary Navie-Stokes system," Zap. Nauchn. Semin. LOMI [in Russian], 38, 153-231 (1973).
    • (1973) Zap. Nauchn. Semin. LOMI [in Russian] , vol.38 , pp. 153-231
    • Solonnikov, V.A.1
  • 10
    • 84988148111 scopus 로고
    • The stationary and nonstationary Stokes system in exterior domains with non-zero divergence and non-zero boundary values
    • R. Farwig and H. Sohr, "The stationary and nonstationary Stokes system in exterior domains with non-zero divergence and non-zero boundary values," Math. Methods Appl. Sci., 17, 269-291 (1994).
    • (1994) Math. Methods Appl. Sci. , vol.17 , pp. 269-291
    • Farwig, R.1    Sohr, H.2
  • 11
    • 0004442780 scopus 로고    scopus 로고
    • p-estimates for solutions to the initial-boundary-value problem for the generalized Stokes equations in a half-space
    • p-estimates for solutions to the initial-boundary-value problem for the generalized Stokes equations in a half-space," Probl. Mat. Anal., 20, 243-270 (2000)
    • (2000) Probl. Mat. Anal. , vol.20 , pp. 243-270
    • Solonnikov, V.A.1
  • 12
    • 0042605819 scopus 로고    scopus 로고
    • English Translation
    • [English Translation: J. Math. Sci., 102, No. 5, 4523-4543 (2000)].
    • (2000) J. Math. Sci. , vol.102 , Issue.5 , pp. 4523-4543
  • 16
    • 0039488663 scopus 로고
    • On some problems of vector analysis and generalized statements of boundary-value problems for the Navie-Stokes system
    • O. A. Ladyzhenskaya and V. A. Solonnikov, "On some problems of vector analysis and generalized statements of boundary-value problems for the Navie-Stokes system," Zap. Nauchn. Semin. LOMI [in Russian], 59, 178-254 (1976).
    • (1976) Zap. Nauchn. Semin. LOMI [in Russian] , vol.59 , pp. 178-254
    • Ladyzhenskaya, O.A.1    Solonnikov, V.A.2
  • 17
    • 0002419779 scopus 로고
    • Solution to some problems of vector analysis related to the operators div and grad
    • M. E. Bogovskii, "Solution to some problems of vector analysis related to the operators div and grad," Tr. Semin. S. L. Soboleva, No. 1, 5-40 (1980).
    • (1980) Tr. Semin. S. L. Soboleva , Issue.1 , pp. 5-40
    • Bogovskii, M.E.1
  • 18
    • 52549090866 scopus 로고
    • On some smoothness conditions for functions of several variables and on estimates for the convolution operators
    • K. K. Golovkin, "On some smoothness conditions for functions of several variables and on estimates for the convolution operators," Dokl. Akad. Nauk SSSR, 139, 524-527 (1961).
    • (1961) Dokl. Akad. Nauk SSSR , vol.139 , pp. 524-527
    • Golovkin, K.K.1
  • 22
    • 84967491274 scopus 로고
    • The method of orthogonal projection on potential theory
    • H. Weyl, "The method of orthogonal projection on potential theory," Duke Math. J., 7, 411-444 (1940).
    • (1940) Duke Math. J. , vol.7 , pp. 411-444
    • Weyl, H.1
  • 23
    • 0002910261 scopus 로고
    • On orthogonal decomposition of the space of vector-valued functions square-integrable over a given domain and on operators of vector analysis
    • E. B. Bykhovskii and N. V. Smirnov, "On orthogonal decomposition of the space of vector-valued functions square-integrable over a given domain and on operators of vector analysis," Tr. Mat. Inst. Steklova [in Russian], 59, 5-36 (1960).
    • (1960) Tr. Mat. Inst. Steklova [in Russian] , vol.59 , pp. 5-36
    • Bykhovskii, E.B.1    Smirnov, N.V.2
  • 25
    • 0001696546 scopus 로고
    • p-theorem of Helmholtz decomposition of vector fields
    • p-theorem of Helmholtz decomposition of vector fields," J. Fac Sci. Univ. Tokyo, 27, 685-700 (1977).
    • (1977) J. Fac Sci. Univ. Tokyo , vol.27 , pp. 685-700
    • Fujiwara, D.1    Morimoto, H.2
  • 26
    • 0000969686 scopus 로고
    • A priori estimates for second-order equations of parabolic type
    • V. A. Solonnikov, "A priori estimates for second-order equations of parabolic type," Tr. Mat. Inst. Steklova [in Russian], 70, 133-212 (1964).
    • (1964) Tr. Mat. Inst. Steklova [in Russian] , vol.70 , pp. 133-212
    • Solonnikov, V.A.1
  • 27
    • 33748824540 scopus 로고    scopus 로고
    • Coercive estimates for solutions to linearizations of modified Navie-Stokes equations
    • O. A. Ladyzhenskaya and G. A. Seregin, "Coercive estimates for solutions to linearizations of modified Navie-Stokes equations," Russian Acad. Sci. Dokl. Math., 370, No. 6, 738-740 (2000).
    • (2000) Russian Acad. Sci. Dokl. Math. , vol.370 , Issue.6 , pp. 738-740
    • Ladyzhenskaya, O.A.1    Seregin, G.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.