Determination of the unknown sources in the heat-conduction equation

Computational Mathematics and Modeling

Volumn 8, Issue 4, 1997, Pages 309-313

  Burykin, A A ^a   Denisov, A M ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 53249084265     PISSN: 1046283X     EISSN: 1573837X     Source Type: Journal    
DOI: 10.1007/BF02404048     Document Type: Article

References (11)

1. J. R. Cannon, "Determination of the unknown heat source from overspecified boundary data, " SIAM J. Numer. Anal., 5, No. 2, 275-286 (1968).
2. N. Ya. Beznoshchenko and A. I. Prilepko, "Inverse problems for equations of parabolic type," in: Topics in Mathematical Physics and Computational Mathematics [in Russian], Nauka, Moscow (1977), pp. 51-63.
3. A. M. Denisov, Introduction to the Theory of Inverse Problems [in Russian], Izd. MGU, Moscow (1994).
4. M. M. Lavrent'ev, V. G. Romanov, and V. G. Vasil'ev, Multidimensional Inverse Problems for Differential Equations [in Russian], Nauka, Novosibirsk (1969).
5. K. G. Reznitskaya, "Two-dimensional inverse source problem. Linearized case," in: Conditionally Well-Posed Problems [in Russian], Novosibirsk (1988), pp. 58-63.
6. V. G. Romanov, Inverse Problems of Mathematical Physics [in Russian], Nauka, Moscow (1984).
7. A. I. Prilepko and A. B. Kostin, "On some inverse problems for parabolic equations with final and integral observations," Mat. Sb., 183, No. 4, 49-68 (1992).
8. A. I. Prilepko and V. V. Solov'ev, "Solvability theorems and the Rote method in inverse problems for equations of parabolic type, II," Differents. Uravn., 23, No. 11, 1971-1980 (1987).
9. V. Isakov, Inverse Source Problems, AMS, Providence, Rhode Island (1990).
10. H. W. Engl, O. Scherzer, and M. Yamamoto, "Uniqueness and stable determination of forcing terms in linear partial differential equations with overspecified boundary data," Inverse Problems, 10, No. 6, 1253-1276 (1994).
11. K. Hoffmann and M. Yamamoto, "Generic uniqueness and stability in some inverse parabolic problems," in: Inverse Problems in Mathematical Physics (Saariselka, 1992), Lect. Notes Phys., Vol. 422, Springer, Berlin (1993).