메뉴 건너뛰기




Volumn 173, Issue 1, 2006, Pages 566-581

Data compatibility and conditional stability for an inverse source problem in the heat equation

Author keywords

Conditional stability; Data compatibility; Integral identity method; Inverse problem of nonlinear source term

Indexed keywords

INTEGRAL EQUATIONS; PROBLEM SOLVING; THERMAL EFFECTS;

EID: 32144443475     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.04.053     Document Type: Article
Times cited : (44)

References (14)
  • 1
    • 17844380900 scopus 로고
    • Inverse problem for the nonlinear heat equation with the final overdetermination
    • E.G. Savateev Inverse problem for the nonlinear heat equation with the final overdetermination Math. Comput. Modell. 22 1995 29 43
    • (1995) Math. Comput. Modell. , vol.22 , pp. 29-43
    • Savateev, E.G.1
  • 2
    • 3343008087 scopus 로고    scopus 로고
    • An inverse parabolic problem with non-zero initial condition
    • M. Choulli, and M. Yamamoto An inverse parabolic problem with non-zero initial condition Inverse Problems 13 1997 19 27
    • (1997) Inverse Problems , vol.13 , pp. 19-27
    • Choulli, M.1    Yamamoto, M.2
  • 3
    • 0001551472 scopus 로고    scopus 로고
    • Some inverse problems for the diffusion equation
    • V. Isakov Some inverse problems for the diffusion equation Inverse Problems 15 1999 3 10
    • (1999) Inverse Problems , vol.15 , pp. 3-10
    • Isakov, V.1
  • 4
    • 0001611275 scopus 로고    scopus 로고
    • Inverse heat conduction based on boundary measurements
    • M. Tadi Inverse heat conduction based on boundary measurements Inverse Problems 13 1997 1585 1605
    • (1997) Inverse Problems , vol.13 , pp. 1585-1605
    • Tadi, M.1
  • 5
    • 27144535524 scopus 로고
    • An inverse problem for a semilinear parabolic equation
    • A. Lorenzi An inverse problem for a semilinear parabolic equation Ann. Mate, Pure Appl. 82 1982 145 167
    • (1982) Ann. Mate, Pure Appl. , vol.82 , pp. 145-167
    • Lorenzi, A.1
  • 6
    • 0001035236 scopus 로고
    • Fixed point methods for a nonlinear parabolic inverse coefficient problem
    • M. Pilant, and W. Rundell Fixed point methods for a nonlinear parabolic inverse coefficient problem Commun. PDE 13 1988 469 493
    • (1988) Commun. PDE , vol.13 , pp. 469-493
    • Pilant, M.1    Rundell, W.2
  • 7
    • 0343303336 scopus 로고    scopus 로고
    • Determination of the source term in the heat conduction equation
    • A. Nanda, and P.C. Das Determination of the source term in the heat conduction equation Inverse Problems 12 1996 325 339
    • (1996) Inverse Problems , vol.12 , pp. 325-339
    • Nanda, A.1    Das, P.C.2
  • 8
    • 0001634697 scopus 로고    scopus 로고
    • Structural identification of an unknown source in a heat equation
    • J.R. Cannon, and P. DuChateau Structural identification of an unknown source in a heat equation Inverse Problems 14 1998 535 551
    • (1998) Inverse Problems , vol.14 , pp. 535-551
    • Cannon, J.R.1    Duchateau, P.2
  • 9
    • 0001908083 scopus 로고    scopus 로고
    • An existence result for an inverse problem for a quasilinear parabolic equation
    • S. Gatti An existence result for an inverse problem for a quasilinear parabolic equation Inverse Problems 14 1998 53 65
    • (1998) Inverse Problems , vol.14 , pp. 53-65
    • Gatti, S.1
  • 10
    • 0345413975 scopus 로고    scopus 로고
    • An inverse parabolic problem for nonlinear source term with nonlinear boundary conditions
    • G. Li, Y. Ma, and K. Li An inverse parabolic problem for nonlinear source term with nonlinear boundary conditions J. Inverse Ill-Posed Problems 11 2003 371 387
    • (2003) J. Inverse Ill-Posed Problems , vol.11 , pp. 371-387
    • Li, G.1    Ma, Y.2    Li, K.3
  • 13
    • 21844518343 scopus 로고
    • Monotonicity and invertibility of coefficient to data mapping for parabolic inverse problems
    • P. DuChateau Monotonicity and invertibility of coefficient to data mapping for parabolic inverse problems SIAM J. Math. Anal. 26 1995 1473 1487
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1473-1487
    • Duchateau, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.