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Volumn 81, Issue 2, 2003, Pages 182-192

On the inversion of the Laplace transform for resolvent families in UMD spaces

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EID: 0142168917     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-003-0536-3     Document Type: Article
Times cited : (9)

References (12)
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    • W. ARENDT, C. J. K. BATTY, M. HIEBER and F. NEUBRANDER, Vector-valued Laplace Transforms and Cauchy Problems. Monographs Math. 96, Basel-Boston-Berlin 2001.
    • (2001) Monographs Math. , vol.96
    • Arendt, W.1    Batty, C.J.K.2    Hieber, M.3    Neubrander, F.4
  • 3
    • 0000254778 scopus 로고
    • Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations
    • W. ARENDT and J. Prüss, Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. SIAM J. Math. Anal. N2 23, 412-448 (1992).
    • (1992) SIAM J. Math. Anal. N2 , vol.23 , pp. 412-448
    • Arendt, W.1    Prüss, J.2
  • 4
    • 0030303923 scopus 로고    scopus 로고
    • Rates of approximation and ergodic limits of resolvent families
    • J. -C. CHAN and S. -Y. SHAW, Rates of approximation and ergodic limits of resolvent families. Arch. Math. 66, 320-330 (1996).
    • (1996) Arch. Math. , vol.66 , pp. 320-330
    • Chan, J.-C.1    Shaw, S.-Y.2
  • 5
    • 0041330534 scopus 로고    scopus 로고
    • On operator cosine functions in UMD spaces
    • I. CIORANESCU and V. KEYANTUO, On operator cosine functions in UMD spaces. Semigroup Forum (3) 63, 429-440 (2001).
    • (2001) Semigroup Forum (3) , vol.63 , pp. 429-440
    • Cioranescu, I.1    Keyantuo, V.2
  • 6
    • 0033482255 scopus 로고    scopus 로고
    • On the inverse formula of Laplace transforms
    • A. DRIOUICH and O. EL-MENNAOUI, On the inverse formula of Laplace transforms. Arch. Math. 72, 56-63 (1999).
    • (1999) Arch. Math. , vol.72 , pp. 56-63
    • Driouich, A.1    El-Mennaoui, O.2
  • 8
    • 0000687168 scopus 로고
    • On an extension of the Trotter-Kato theorem for resolvent families of operators
    • C. LIZAMA, On an extension of the Trotter-Kato theorem for resolvent families of operators. J. Integral Equations Appl. 2, 269-280 (1990).
    • (1990) J. Integral Equations Appl. , vol.2 , pp. 269-280
    • Lizama, C.1
  • 9
    • 0000041859 scopus 로고
    • On Volterra equations associated with a linear operator
    • C. LIZAMA, On Volterra equations associated with a linear operator. Proc. Amer. Math. Soc. 118, No. 4, 1159-1166 (1993).
    • (1993) Proc. Amer. Math. Soc. , vol.118 , Issue.4 , pp. 1159-1166
    • Lizama, C.1
  • 10
    • 0142192511 scopus 로고    scopus 로고
    • A representation formula for strongly continuous resolvent families
    • C. LIZAMA, A representation formula for strongly continuous resolvent families. J. Integral Equations Appl. 9, 321-327 (1997).
    • (1997) J. Integral Equations Appl. , vol.9 , pp. 321-327
    • Lizama, C.1
  • 11
    • 22444454861 scopus 로고    scopus 로고
    • A characterization of uniform continuity for Volterra equations in Hilbert spaces
    • C. LIZAMA, A characterization of uniform continuity for Volterra equations in Hilbert spaces. Proc. Amer. Math. Soc. 126, No. 12, 3581-3587 (1998).
    • (1998) Proc. Amer. Math. Soc. , vol.126 , Issue.12 , pp. 3581-3587
    • Lizama, C.1
  • 12
    • 0003334487 scopus 로고
    • Evolutionary Integral Equations and Applications
    • Basel-Boston-Berlin
    • J. PRÜSS, Evolutionary Integral Equations and Applications. Monographs Math. 87, Basel-Boston-Berlin. 1993.
    • (1993) Monographs Math. , vol.87
    • Prüss, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.