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Volumn 1, Issue 4, 2001, Pages 361-385

The Kato square root problem for higher order elliptic operators and systems on ℝn

Author keywords

Elliptic systems; G rding inequality; Kato problem; Square roots

Indexed keywords


EID: 0000150385     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001377     Document Type: Article
Times cited : (67)

References (19)
  • 1
    • 77957128250 scopus 로고    scopus 로고
    • Analysis of second order elliptic operators without boundary conditions with V M O or Hölderian coefficients
    • Dahmen, Kurdila, Oswald, editor, Multiscale wavelets methods for partial differential equations. Acad. Press
    • ANGELETTI, J. M., MAZET, S. and TCHAMITCHIAN, P., Analysis of second order elliptic operators without boundary conditions with V M O or Hölderian coefficients. In Dahmen, Kurdila, Oswald, editor, Multiscale wavelets methods for partial differential equations, volume 6 of Wavelets and its Applications. Acad. Press, 1997.
    • (1997) Wavelets and Its Applications , vol.6
    • Angeletti, J.M.1    Mazet, S.2    Tchamitchian, P.3
  • 3
    • 0347319963 scopus 로고    scopus 로고
    • Extrapolation of Carleson measures and the analyticity of Koto's square root operator
    • to appear
    • AUSCHER, P., HOFMANN, S., LEWIS, J. and TCHAMITCHIAN, PH., Extrapolation of Carleson measures and the analyticity of Koto's square root operator. Acta Math., to appear.
    • Acta Math.
    • Auscher, P.1    Hofmann, S.2    Lewis, J.3    Tchamitchian, Ph.4
  • 4
    • 0041047691 scopus 로고    scopus 로고
    • The square root problem of Kato in one dimension, and first order systems
    • CINTOSH, A. and NAHMOD, A. The square root problem of Kato in one dimension, and first order systems. Indiana Univ. Math. J. 46 (1997), 659-695.
    • (1997) Indiana Univ. Math. J. , vol.46 , pp. 659-695
    • Auscfier, P.1    Mcintosh, A.2    Nahmod, A.3
  • 5
    • 0000794929 scopus 로고    scopus 로고
    • Equivalence between regularity theorems and heat kernel estimates for higher order operators and systems under divergence form
    • AUSCHER, P. and QAFSAOUI, M., Equivalence between regularity theorems and heat kernel estimates for higher order operators and systems under divergence form, J. Funct. Anal. 177 (2000), 310-364.
    • (2000) J. Funct. Anal. , vol.177 , pp. 310-364
    • Auscher, P.1    Qafsaoui, M.2
  • 6
    • 0000740667 scopus 로고    scopus 로고
    • Square root problem for divergence operators and related topics
    • Soc. Math. France
    • AUSCHER, P. and TCHAMITCHIAN, PH., Square root problem for divergence operators and related topics, volume 249 of Astérisque. Soc. Math. France, 1998.
    • (1998) Astérisque , vol.249
    • Auscher, P.1    Tchamitchian, Ph.2
  • 7
    • 0002793072 scopus 로고
    • Polynomial growth estimates for multilinear singular integral operators
    • CHRIST, M. and JOURNÉ, J.-L. Polynomial growth estimates for multilinear singular integral operators. Acta Math. 159 (1987), 51-80.
    • (1987) Acta Math. , vol.159 , pp. 51-80
    • Christ, M.1    Journé, J.-L.2
  • 9
    • 0001431987 scopus 로고
    • Uniformly elliptic operators with measurable coefficients
    • DAVIES, E. B., Uniformly elliptic operators with measurable coefficients. J. Funct. Anal. 132 (1995), 141-169.
    • (1995) J. Funct. Anal. , vol.132 , pp. 141-169
    • Davies, E.B.1
  • 11
    • 0037482511 scopus 로고
    • Caccioppoli's inequality and the Legendre-Hadamard condition
    • GIAQUINTA, M. and SOUČEK, J., Caccioppoli's inequality and the Legendre-Hadamard condition. Math. Ann. 270 (1985), 105-107.
    • (1985) Math. Ann. , vol.270 , pp. 105-107
    • Giaquinta, M.1    Souček, J.2
  • 13
    • 84972498530 scopus 로고
    • Fractional powers of dissipative operators
    • KATO, T., Fractional powers of dissipative operators, J. Math. Soc. Japan 13 (1961), 246-274.
    • (1961) J. Math. Soc. Japan , vol.13 , pp. 246-274
    • Kato, T.1
  • 15
    • 0011904727 scopus 로고
    • Algèbres d'opérateurs définis par des intégrales singulières
    • Série I
    • CINTOSH, A. and MEYER, Y., Algèbres d'opérateurs définis par des intégrales singulières. C. R. Acad. Sci. Paris, 301, Série I (1985), 395-397.
    • (1985) C. R. Acad. Sci. Paris , vol.301 , pp. 395-397
    • Mcintosh, A.1    Meyer, Y.2
  • 16
    • 0000680241 scopus 로고
    • Operators of type ω without a bounded H∞ functional calculus
    • Miniconference on Operators in Analysis, Canberra. Australian National Univ.
    • CINTOSH, A. and YAGI, A., Operators of type ω without a bounded H∞ functional calculus. In Miniconference on Operators in Analysis, volume 24 of Center for Math, and Appl., pages 159-174, Canberra, 1989. Australian National Univ.
    • (1989) Center for Math, and Appl. , vol.24 , pp. 159-174
    • Mcintosh, A.1    Yagi, A.2
  • 18
    • 0040347540 scopus 로고
    • A counterexample in the theory of coertiveness for elliptic systems
    • ZHANG, K., A counterexample in the theory of coertiveness for elliptic systems, J. Partial Differential Equations 2 (1989), 79-82.
    • (1989) J. Partial Differential Equations , vol.2 , pp. 79-82
    • Zhang, K.1
  • 19
    • 0041117249 scopus 로고    scopus 로고
    • On the coercivity of elliptic systems in two dimensional spaces
    • ZHANG, K., On the coercivity of elliptic systems in two dimensional spaces, Bull. Austral. Math. Soc. 54 (1996), 423-430.
    • (1996) Bull. Austral. Math. Soc. , vol.54 , pp. 423-430
    • Zhang, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.