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Volumn 307, Issue 2, 2005, Pages 656-676

Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem

Author keywords

Abstract Cauchy problem; Analytic semigroup; Fr chet derivative; Fr chet differentiability; Infinitesimal generator

Indexed keywords


EID: 18944369553     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.02.044     Document Type: Article
Times cited : (4)

References (13)
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    • Brewer, D.1
  • 2
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    • Parameter identification for an abstract Cauchy problem by quasilinearization
    • D. Brewer J. Burns E. Cliff Parameter identification for an abstract Cauchy problem by quasilinearization Quart. Appl. Math. 51 1993 1-22
    • (1993) Quart. Appl. Math. , vol.51 , pp. 1-22
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  • 3
    • 0034391497 scopus 로고    scopus 로고
    • Parameter differentiability of the solution of a nonlinear abstract Cauchy problem
    • J. Burns P. Morin R. Spies Parameter differentiability of the solution of a nonlinear abstract Cauchy problem J. Math. Anal. Appl. 252 2000 18-31
    • (2000) J. Math. Anal. Appl. , vol.252 , pp. 18-31
    • Burns, J.1    Morin, P.2    Spies, R.3
  • 4
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    • Sensitivity analysis for a class of evolution equations
    • L.G. Clark J.S. Gibson Sensitivity analysis for a class of evolution equations J. Math. Anal. Appl. 58 1977 22-31
    • (1977) J. Math. Anal. Appl. , vol.58 , pp. 22-31
    • Clark, L.G.1    Gibson, J.S.2
  • 5
    • 0002397298 scopus 로고
    • Parameter identification in parabolic partial differential equations using quasilinearization
    • PhD thesis, ICAM Report 90-07-01, Interdisciplinary Center for Applied Mathematics, Virginia Polytechnic Institute and State University
    • P.W. Hammer, Parameter identification in parabolic partial differential equations using quasilinearization, PhD thesis, ICAM Report 90-07-01, Interdisciplinary Center for Applied Mathematics, Virginia Polytechnic Institute and State University, 1990
    • (1990)
    • Hammer, P.W.1
  • 7
    • 0036256009 scopus 로고    scopus 로고
    • Parameter identification for nonlinear abstract Cauchy problems using quasilinearization
    • T. Herdman P. Morin R. Spies Parameter identification for nonlinear abstract Cauchy problems using quasilinearization J. Optim. Theory Appl. 113 2002 227-250
    • (2002) J. Optim. Theory Appl. , vol.113 , pp. 227-250
    • Herdman, T.1    Morin, P.2    Spies, R.3
  • 9
    • 0031195383 scopus 로고    scopus 로고
    • Identifiability of the Landau-Ginzburg potential in a mathematical model of shape memory alloys
    • P. Morin R. Spies Identifiability of the Landau-Ginzburg potential in a mathematical model of shape memory alloys J. Math. Anal. Appl. 212 1997 292-315
    • (1997) J. Math. Anal. Appl. , vol.212 , pp. 292-315
    • Morin, P.1    Spies, R.2
  • 10
    • 3342985936 scopus 로고    scopus 로고
    • A quasilinearization approach for parameter identification in a nonlinear model of shape memory alloys
    • P. Morin R. Spies A quasilinearization approach for parameter identification in a nonlinear model of shape memory alloys Inverse Problems 14 1998 1551-1563
    • (1998) Inverse Problems , vol.14 , pp. 1551-1563
    • Morin, P.1    Spies, R.2
  • 11
    • 0001944472 scopus 로고
    • A state-space approach to a one-dimensional mathematical model for the dynamics of phase transitions in pseudoelastic materials
    • R. Spies A state-space approach to a one-dimensional mathematical model for the dynamics of phase transitions in pseudoelastic materials J. Math. Anal. Appl. 190 1995 58-100
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    • Spies, R.1
  • 12
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    • Results on a mathematical model of thermomechanical phase transitions in shape memory materials
    • R. Spies Results on a mathematical model of thermomechanical phase transitions in shape memory materials Smart Materials and Structures 3 1994 459-469
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    • Spies, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.