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Volumn 64, Issue , 2005, Pages 265-272

On elliptic non-divergence operators with measurable coefficients

Author keywords

Elliptic operator; Fourier multiplier; Functional calculus; Maximal regularity; Strong operator topology

Indexed keywords


EID: 33750164759     PISSN: 14211750     EISSN: 23740280     Source Type: Book Series    
DOI: 10.1007/3-7643-7385-7_15     Document Type: Chapter
Times cited : (4)

References (16)
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    • Weighted norm estimates and maximal regularity
    • S. Blunck, P.C. Kunstmann, Weighted norm estimates and maximal regularity, Adv. Differ. Equ. 7, 1513–1532 (2002).
    • (2002) Adv. Differ. Equ , vol.7 , pp. 1513-1532
    • Blunck, S.1    Kunstmann, P.C.2
  • 4
    • 0001431987 scopus 로고
    • Uniformly elliptic operators with measurable coefficients
    • E.B. Davies, Uniformly elliptic operators with measurable coefficients, J. Funct. Anal. 132, 141–169 (1995).
    • (1995) J. Funct. Anal. , vol.132 , pp. 141-169
    • Davies, E.B.1
  • 5
    • 0242287337 scopus 로고    scopus 로고
    • R-boundedness, Fourier multipliers and problems of elliptic and parabolic type
    • R. Denk, M. Hieber, J. Prüss, R-boundedness, Fourier multipliers and problems of elliptic and parabolic type, Mem. Am. Math. Soc. 788 (2003).
    • (2003) Mem. Am. Math. Soc. , Issue.788
    • Denk, R.1    Hieber, M.2    Prüss, J.3
  • 6
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    • 0007112760 scopus 로고    scopus 로고
    • ∞-calculus for elliptic operators with non-smooth coefficients
    • ∞-calculus for elliptic operators with non-smooth coefficients, Differ. Integral Equ. 10, 201–217 (1997).
    • (1997) Differ. Integral Equ. , vol.10 , pp. 201-217
    • Duong, X.T.1    Simonett, G.2
  • 8
    • 0141830582 scopus 로고    scopus 로고
    • Bounded holomorphic functional calculus for nondivergence form differential operators
    • X.T. Duong, Li Xin Yan, Bounded holomorphic functional calculus for nondivergence form differential operators, Differ. Integral Equ. 15, 709–730 (2002).
    • (2002) Differ. Integral Equ. , vol.15 , pp. 709-730
    • Duong, X.T.1    Li, X.Y.2
  • 10
    • 0141425602 scopus 로고    scopus 로고
    • p -regularity for elliptic operators with VMO-coefficients
    • p -regularity for elliptic operators with VMO-coefficients, J. Evol. Equ. 3, 332–359 (2003).
    • (2003) J. Evol. Equ , vol.3 , pp. 332-359
    • Heck, H.1    Hieber, M.2
  • 12
    • 22444454571 scopus 로고    scopus 로고
    • Stability results on interpolation scales of quasi-Banach spaces and applications
    • N.J. Kalton, M. Mitrea, Stability results on interpolation scales of quasi-Banach spaces and applications, Trans. Am. Math. Soc. 350, 3903–3922 (1998).
    • (1998) Trans. Am. Math. Soc , vol.350 , pp. 3903-3922
    • Kalton, N.J.1    Mitrea, M.2
  • 13
    • 34250865447 scopus 로고    scopus 로고
    • p -regularity for second-order elliptic operators with uniformly continuous coefficients on domains
    • p -regularity for second-order elliptic operators with uniformly continuous coefficients on domains, in Iannelli, Mimmo (ed.) et al., Evolution equations: applications to physics, industry, life sciences and economics, Basel, Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 55, 293–305 (2003).
    • (2003) Nonlinear Differ. Equ. Appl , vol.55 , pp. 293-305
    • Kunstmann, P.C.1


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