The inverse problem of determining the heat source power for a parabolic equation under arbitrary boundary conditions

Journal of Mathematical Sciences

Volumn 88, Issue 3, 1998, Pages 432-436

  Ivanchov, M I ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54649084159     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02365265     Document Type: Article

References (5)

1. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, American Mathematical Society, Providence (1968).
2. A. I. Prilepko and I. I. Solov'ev, "Solvability theorems and the Rota method in inverse problems for an equation of parabolic type. I," Differents. Uravn., 23, No. 10, 1791-1798 (1987).
3. A. I. Prilepko, A. E. Uzlov, and N. P. Volkov, "On control of source functions in inverse problems for equations and systems of parabolic type," in: Theory and Methods of Solving Ill-posed Problems and their Applications: Proceedings of the All-Union Seminar on Ill-posed Problems [in Russian]., Saratov University Press (1985), pp. 122-123.
4. A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs (1964).
5. J. R. Cannon, Y. Lin, and S. Wang, "Determination of a control parameter in a parabolic differential equation," J. Austral. Math. Soc., Ser. B, 33, 149-163 (1991).