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Volumn 2, Issue 4, 1998, Pages 483-496

An extension of kato's stability condition for nonautonomous cauchy problems

Author keywords

Commutative case; Kato's stability; Nonautonomous cauchy problem; Wellposedness

Indexed keywords


EID: 0039069251     PISSN: 10275487     EISSN: None     Source Type: Journal    
DOI: 10.11650/twjm/1500407019     Document Type: Article
Times cited : (17)

References (11)
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    • DaPrato, G.1    Sinestrari, E.2
  • 2
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    • Sommes d'opérateurs linéaires et équations différentielles opérationelles
    • G. DaPrato and P. Grisvard, Sommes d'opérateurs linéaires et équations différentielles opérationelles, J. Math. Pures Appl. 54 (1975), 305-387.
    • (1975) J. Math. Pures Appl. , vol.54 , pp. 305-387
    • DaPrato, G.1    Grisvard, P.2
  • 3
    • 84972497435 scopus 로고
    • A simplified proof of a theorem of Kato on linear evolution equations
    • J. R. Dorroh, A simplified proof of a theorem of Kato on linear evolution equations, J. Math. Soc. Japan 27 (1975), 474-478.
    • (1975) J. Math. Soc. Japan , vol.27 , pp. 474-478
    • Dorroh, J.R.1
  • 5
    • 84968496845 scopus 로고
    • Abstract evolution equations
    • J. Goldstein, Abstract evolution equations, Trans. Amer. Math. Soc. 141 (1969), 159-184.
    • (1969) Trans. Amer. Math. Soc. , vol.141 , pp. 159-184
    • Goldstein, J.1
  • 6
    • 84972529352 scopus 로고
    • Integration of the equation of evolution in Banach space
    • T. Kato, Integration of the equation of evolution in Banach space, J. Math. Soc. Japan 5 (1953), 208-234.
    • (1953) J. Math. Soc. Japan , vol.5 , pp. 208-234
    • Kato, T.1
  • 7
    • 0000744112 scopus 로고
    • Linear evolution equations of "hyperbolic" type
    • T. Kato, Linear evolution equations of "hyperbolic" type, J. Fac. Sci. Univ. Tokyo 17 (1970), 241-258.
    • (1970) J. Fac. Sci. Univ. Tokyo , vol.17 , pp. 241-258
    • Kato, T.1
  • 8
    • 84972555584 scopus 로고
    • On a theorem for evolution equations of hyperbolic type
    • K. Kobayasi, On a theorem for evolution equations of hyperbolic type, J. Math. Soc. Japan 31 (1979), 647-654 .
    • (1979) J. Math. Soc. Japan , vol.31 , pp. 647-654
    • Kobayasi, K.1
  • 9
    • 0003207468 scopus 로고
    • One-Parameter Semigroups of Positive Operators
    • Springer-Verlag, Berlin
    • R. Nagel (ed.), One-Parameter Semigroups of Positive Operators, Lecture Notes in Mathematics 1184, Springer-Verlag, Berlin, 1986.
    • (1986) Lecture Notes in Mathematics , vol.1184
    • Nagel, R.1
  • 11
    • 0004294301 scopus 로고
    • North Holland, Amsterdam
    • A. C. Zaanen, Integration, North Holland, Amsterdam, 1967.
    • (1967) Integration
    • Zaanen, A.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.