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Volumn 25, Issue 11, 2009, Pages

Regularization in Hilbert space under unbounded operators and general source conditions

Author keywords

[No Author keywords available]

Indexed keywords

ADJOINTS; CAUCHY PROBLEMS; ERROR BOUND; FRACTIONAL DIFFERENTIATION; GENERAL SOURCE; ILL-POSED EQUATIONS; THEORETICAL STUDY; UNBOUNDED OPERATORS;

EID: 70450173049     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/25/11/115013     Document Type: Article
Times cited : (21)

References (15)
  • 4
    • 22644452722 scopus 로고    scopus 로고
    • Stability rates for linear ill-posed problems with compact and non-compact operators
    • Hofmann B and Fleischer G 1999 Stability rates for linear ill-posed problems with compact and non-compact operators Z. Anal. Anwendungen 18 267-86
    • (1999) Z. Anal. Anwendungen , vol.18 , pp. 267-286
    • Hofmann, B.1    Fleischer, G.2
  • 5
    • 37549002107 scopus 로고    scopus 로고
    • Analysis of profile functions for general linear regularization methods
    • Hofmann B and Mathé P 2007 Analysis of profile functions for general linear regularization methods SIAM J. Numer. Anal. 45 1122-41
    • (2007) SIAM J. Numer. Anal. , vol.45 , pp. 1122-1141
    • Hofmann, B.1    Mathé, P.2
  • 6
    • 41849131791 scopus 로고    scopus 로고
    • How general are general source conditions?
    • Mathé P and Hofmann B 2008 How general are general source conditions? Inverse Problems 24 015009
    • (2008) Inverse Problems , vol.24 , pp. 015009
    • Mathé, P.1    Hofmann, B.2
  • 7
    • 0038339461 scopus 로고    scopus 로고
    • Geometry of linear ill-posed problems in variable Hilbert scales
    • Mathé P and Pereverzev S V 2003 Geometry of linear ill-posed problems in variable Hilbert scales Inverse Problems 19 789-803
    • (2003) Inverse Problems , vol.19 , pp. 789-803
    • Mathé, P.1    Pereverzev, S.V.2
  • 10
    • 40149097911 scopus 로고    scopus 로고
    • On unbounded operators and applications
    • Ramm A G 2008 On unbounded operators and applications Appl. Math. Lett. 21 377-82
    • (2008) Appl. Math. Lett. , vol.21 , pp. 377-382
    • Ramm, A.G.1
  • 12
    • 70450213967 scopus 로고    scopus 로고
    • Conditional stability estimates and regularization with applications to Cauchy problems for the Helmholtz equation
    • Institute of Mathematics, Polish Academy of Sciences
    • Regińska T and Tautenhahn U 2009 Conditional stability estimates and regularization with applications to Cauchy problems for the Helmholtz equation Technical Report 706 Institute of Mathematics, Polish Academy of Sciences www.impan.pl/Preprints/
    • (2009) Technical Report 706
    • Regińska, T.1    Tautenhahn, U.2
  • 13
    • 26444442522 scopus 로고    scopus 로고
    • On optimal regularization methods for fractional differentiation
    • Tautenhahn U and Gorenflo R 1999 On optimal regularization methods for fractional differentiation Z. Anal. Anwendungen 18 449-67
    • (1999) Z. Anal. Anwendungen , vol.18 , pp. 449-467
    • Tautenhahn, U.1    Gorenflo, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.