On identification of a diffusion coefficient

Control and Cybernetics

Volumn 25, Issue 3, 1996, Pages 441-450

  Elayyan, Aleaddin ^a   Isakov, Victor ^a  

^a WICHITA STATE UNIVERSITY   (United States)

Author keywords

Heat conduction; Inverse problems in parabolic equations; Numerical solution of ill posed problems; Underground hydraulics

Indexed keywords

EID: 0030496663     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. BELISHEV, M.V. (1987) Wave bases in multidimensional inverse problems. Mat. Sb. 180, 584-602.
2. ELAYYAN, A. AND ISAKOV, V. On uniqueness of recovery of the discontinuous conductivity coefficient of a parabolic equation. SIAM J. Math. Analysis (to appear).
3. ELAYYAN, A. AND ISAKOV, V. (1995) On Thermal Tomography. Wichita State University, preprint.
4. FRIEDMAN, A. (1964) Partial Differential Equations of Parabolic Type. Prentice Hall, N.J.
5. ISAKOV, V. (1989) Uniqueness for inverse parabolic problems with a lateral overdetermination. Comm. Part. Diff. Equat. 14, 681-689.
6. ISAKOV, V. (1990) Inverse Source Problems. Math. Surv. Monographs, 34 AMS, Providence, R.I.
7. ISAKOV, V. (1995) Uniqueness and stability in inverse parabolic problems. In Inverse Problems in Diffusion Processes, SIAM, Philadelphia.
8. LADYZENSKAJA, O.A., SOLONNIKOV, V.A. AND URAL'CEVA, N.N. (1968) Linear and Quasilinear Equations of Parabolic Type. Transl. Math. Monographs, 23, AMS, Providence, R.I.
9. NACHMAN, A. (1995) Global uniqueness for a two-dimensional inverse boundary value problem. Ann. Math. 142, 71-96.
10. SYLVESTER, J. AND UHLMANN, G. (1987) A global uniqueness theorem for an inverse boundary value problem. Ann. Math. 125, 153-169.