메뉴 건너뛰기




Volumn 59, Issue 2, 2007, Pages 469-519

On a generalized resolvent estimate for the Stokes system with Robin boundary condition

Author keywords

Resolvent estimate; Robin boundary condition; Stokes system

Indexed keywords


EID: 34547487815     PISSN: 00255645     EISSN: None     Source Type: Journal    
DOI: 10.2969/jmsj/05920469     Document Type: Article
Times cited : (49)

References (22)
  • 1
    • 33645446569 scopus 로고    scopus 로고
    • On a Resolvent Estimate of a System of Laplace Operators with Perfect Wall Condition
    • T. Akiyama, H. Kasai, Y. Shibata and M. Tsutsumi, On a Resolvent Estimate of a System of Laplace Operators with Perfect Wall Condition, Funk. Ekvaj., 147 (2004), 361-394.
    • (2004) Funk. Ekvaj , vol.147 , pp. 361-394
    • Akiyama, T.1    Kasai, H.2    Shibata, Y.3    Tsutsumi, M.4
  • 2
    • 0001539043 scopus 로고
    • Solution of the First Boundary Value Problem for the Equation of Continuity of an Incompressible Medium
    • M. E. Bogovskiǐ, Solution of the First Boundary Value Problem for the Equation of Continuity of an Incompressible Medium, Soviet Math. Dokl., 20 (1979), 1094-1098.
    • (1979) Soviet Math. Dokl , vol.20 , pp. 1094-1098
    • Bogovskiǐ, M.E.1
  • 3
    • 34547404004 scopus 로고    scopus 로고
    • M. E. Bogovskiǐ, Solution of Some Vector Analysis Problems connected with Operators div and grad, (Russian), Trudy Seminar S. L. Sobolve, 80, Akademia Nauk SSR, Sibirskoe Otdelenie Matematiki, Nowosibirsk, 1980, pp. 5-40.
    • M. E. Bogovskiǐ, Solution of Some Vector Analysis Problems connected with Operators div and grad, (Russian), Trudy Seminar S. L. Sobolve, 80, Akademia Nauk SSR, Sibirskoe Otdelenie Matematiki, Nowosibirsk, 1980, pp. 5-40.
  • 5
    • 84972568649 scopus 로고
    • Generalized Rezolvent Estimates for the Stokes System in Bounded and Unbounded Domains
    • R. Farwig and H. Sohr, Generalized Rezolvent Estimates for the Stokes System 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
  • 8
    • 33748558710 scopus 로고
    • The Nonstationary Navier-Stokes System with Some First Order Boundary Condition
    • Y. Giga, The Nonstationary Navier-Stokes System with Some First Order Boundary Condition, Proc Japan Acad., 58 (1982), 101-104.
    • (1982) Proc Japan Acad , vol.58 , pp. 101-104
    • Giga, Y.1
  • 9
    • 0005277028 scopus 로고
    • Boundary Value Problem for the Nonstationary Navier-Stokes Equations treated by Pseudo-Differential Method
    • G. Grubb and V. A. Solonnikov, Boundary Value Problem for the Nonstationary Navier-Stokes Equations treated by Pseudo-Differential Method, Math. Scand., 69 (1991), 217-290.
    • (1991) Math. Scand , vol.69 , pp. 217-290
    • Grubb, G.1    Solonnikov, V.A.2
  • 10
    • 84972535476 scopus 로고
    • p Sobolev Spaces
    • p Sobolev Spaces, Diff. Int. Equ., 8 (1995), 1013-1046.
    • (1995) Diff. Int. Equ , vol.8 , pp. 1013-1046
    • Grubb, G.1
  • 11
    • 34547485237 scopus 로고    scopus 로고
    • Remarks on Korn's inequality for vector fields which are tangent or normal to the boundary
    • preprint
    • H. Ito, Remarks on Korn's inequality for vector fields which are tangent or normal to the boundary, preprint.
    • Ito, H.1
  • 12
    • 7244253973 scopus 로고    scopus 로고
    • The Initial Value Problem for the Navier-Stokes Equations with General Slip Boundary Condition in Holder Spaces
    • S. Itoh, N. Tanaka and A. Tani, The Initial Value Problem for the Navier-Stokes Equations with General Slip Boundary Condition in Holder Spaces, J. Math. Fluid Mech., 5 (2003), 275-301.
    • (2003) J. Math. Fluid Mech , vol.5 , pp. 275-301
    • Itoh, S.1    Tanaka, N.2    Tani, A.3
  • 13
    • 84972570621 scopus 로고
    • p Approach to the Navier-Stokes Equations with the Neumann Boundary Condition
    • p Approach to the Navier-Stokes Equations with the Neumann Boundary Condition, Hiroshima Math. J., 10 (1980), 517-537.
    • (1980) Hiroshima Math. J , vol.10 , pp. 517-537
    • Miyakawa, T.1
  • 14
    • 84972500307 scopus 로고
    • On non-stationary solutions of the Navier-Stokes equations in an exterior domain
    • T. Miyakawa, On non-stationary solutions of the Navier-Stokes equations in an exterior domain, Hiroshima Math. J., 12 (1982), 115-140.
    • (1982) Hiroshima Math. J , vol.12 , pp. 115-140
    • Miyakawa, T.1
  • 16
    • 0012232557 scopus 로고    scopus 로고
    • A Decay Property of the Fourier Transform and Its Application to the Stokes Problem
    • Y. Shibata and S. Shimizu, A Decay Property of the Fourier Transform and Its Application to the Stokes Problem, J. Math. Fluid Mech., 3 (2001), 213-230.
    • (2001) J. Math. Fluid Mech , vol.3 , pp. 213-230
    • Shibata, Y.1    Shimizu, S.2
  • 17
    • 4043087567 scopus 로고    scopus 로고
    • On a Resolvent Estimate for the Stokes System with Neumann Boundary Condition
    • Y. Shibata and S. Shimizu, On a Resolvent Estimate for the Stokes System with Neumann Boundary Condition, Diff. Int. Eqns., 16 (2003), 385-426.
    • (2003) Diff. Int. Eqns , vol.16 , pp. 385-426
    • Shibata, Y.1    Shimizu, S.2
  • 18
    • 34547456828 scopus 로고    scopus 로고
    • p-Spaces for Bounded and Exterior Domains, Ser. Adv. Math. Appl. Sci., Singapore, World Scientific, 1992, pp. 1-35.
    • p-Spaces for Bounded and Exterior Domains, Ser. Adv. Math. Appl. Sci., Singapore, World Scientific, 1992, pp. 1-35.
  • 19
    • 0000375589 scopus 로고
    • On a Boundary Value Problem for Stationary Navier-Stokes Equations, 125
    • V. A. Solonnikov and V. E. Ščadilov, On a Boundary Value Problem for Stationary Navier-Stokes Equations, 125, Tr. Math. Inst., Steklov, 1973, pp. 196-210;
    • (1973) Tr. Math. Inst., Steklov , pp. 196-210
    • Solonnikov, V.A.1    Ščadilov, V.E.2
  • 20
    • 34547460395 scopus 로고    scopus 로고
    • English Transl.: 125, Proc. Steklov Math. Inst. 1973, pp. 186-199.
    • English Transl.: 125, Proc. Steklov Math. Inst. 1973, pp. 186-199.
  • 21
    • 34547484200 scopus 로고    scopus 로고
    • O. Steiger, On Navier-Stokes Equations with First Order Boundary Conditions, Dissertation for Dr. sc nat., Universität Zürich, 2004.
    • O. Steiger, On Navier-Stokes Equations with First Order Boundary Conditions, Dissertation for Dr. sc nat., Universität Zürich, 2004.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.