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Volumn 28, Issue 1, 2012, Pages 37-44

Well-posedness of equations with fractional derivative via the method of sum

Author keywords

fractional derivative; fractional Sobolev spaces; real interpolation spaces; the method of sum; Well posedness

Indexed keywords


EID: 83255161937     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-012-0333-7     Document Type: Article
Times cited : (6)

References (12)
  • 1
    • 77953520213 scopus 로고    scopus 로고
    • Well-posedness of equations with fractional derivative
    • Bu, S.: Well-posedness of equations with fractional derivative. Acta Mathematica Sinica, English Series, 26(7), 1223-1232 (2010).
    • (2010) Acta Mathematica Sinica, English Series , vol.26 , Issue.7 , pp. 1223-1232
    • Bu, S.1
  • 2
    • 0000373701 scopus 로고
    • Sommes d'opérateurs linéaires et équations différentielles opérationnelles
    • Da Prato, G., Grisvard, P.: Sommes d'opérateurs linéaires et équations différentielles opérationnelles. J. Math. Pures Appl., 54, 305-387 (1975).
    • (1975) J. Math. Pures Appl. , vol.54 , pp. 305-387
    • da Prato, G.1    Grisvard, P.2
  • 3
    • 23744448649 scopus 로고    scopus 로고
    • Sums of bisectorial operators and applications
    • Arendt, W., Bu, S.: Sums of bisectorial operators and applications. Integral Equations Operator Theory, 52, 299-321 (2005).
    • (2005) Integral Equations Operator Theory , vol.52 , pp. 299-321
    • Arendt, W.1    Bu, S.2
  • 5
    • 23044517721 scopus 로고    scopus 로고
    • Schauder estiamtes for equations with fractional derivatives
    • Clément, Ph., Gripenberg, G., Londen, S.-O.: Schauder estiamtes for equations with fractional derivatives. Trans. Amer. Math. Soc., 352, 2239-2260 (2000).
    • (2000) Trans. Amer. Math. Soc. , vol.352 , pp. 2239-2260
    • Clément, P.1    Gripenberg, G.2    Londen, S.-O.3
  • 6
    • 0036628277 scopus 로고    scopus 로고
    • The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
    • Arendt, W., Bu, S.: The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Math. Z., 240, 311-343 (2002).
    • (2002) Math. Z. , vol.240 , pp. 311-343
    • Arendt, W.1    Bu, S.2
  • 8
    • 84953751498 scopus 로고
    • Cambridge: Cambridge University Press
    • Zygmund, A.: Trigonometric Series, Vol. II, Cambridge University Press, Cambridge, 1959.
    • (1959) Trigonometric Series , vol.II
    • Zygmund, A.1
  • 9
    • 2442662590 scopus 로고    scopus 로고
    • Operator-valued Fourier multipliers on periodic Besov spaces and applications
    • Arendt, W., Bu, S.: Operator-valued Fourier multipliers on periodic Besov spaces and applications. Proc. Edinb. Math. Soc., 47, 15-33 (2004).
    • (2004) Proc. Edinb. Math. Soc. , vol.47 , pp. 15-33
    • Arendt, W.1    Bu, S.2
  • 12
    • 0346273048 scopus 로고    scopus 로고
    • A remark about the interpolation of spaces of continuous, vector-valued functions
    • Bu, S., Chill, R.: A remark about the interpolation of spaces of continuous, vector-valued functions. J. Math. Anal. Appl., 288, 246-250 (2003).
    • (2003) J. Math. Anal. Appl. , vol.288 , pp. 246-250
    • Bu, S.1    Chill, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.