Some problems of restoring the boundary condition for a parabolic equation. II

Differential Equations

Volumn 32, Issue 11, 1996, Pages 1515-1525

  Kostin, A B ^a   Prilepko, A I ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27344445202     PISSN: 00122661     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. B. F. Jones, Math. and Mech., 11, No. 6, 907-909 (1962).
2. B. F. Jones, Comm. on Pure and Appl. Math., 6, No. 1, 33-44 (1963).
3. J. R. Cannon, Duke Math. J., 30, No. 2, 313-323 (1963).
4. J. R. Cannon and B. F. Jones, Int. J. Engng. Sci., 1, 457-460 (1963).
5. J. R. Cannon, The One-Dimensional Heat Equation (Encycl. of mathem. a. its appl. Vol. 23), Addison-Wesley (1984).
6. M. Pilant and W. Rundell, Proc. Edin. Math. Soc., 32, 59-71 (1989).
7. A. Shidfar, Nonlinear Anal. Theory, Meth. and Appl., 15, No. 2, 1139-1143 (1990).
8. T. I. Seidman, Calcul. of Variations and Control Theory, 321-351 (1976).
9. A. I. Prilepko and V. V. Solov'ev, Differents. Uravn., 23, No. 10, 1791-1799 (1987).
10. A. I. Prilepko and V. V. Solov'ev, Differents. Uravn., 23, No. 1, 136-143 (1987).
11. V. V. Solov'ev, in: Functional Methods in Problems of Mathematical Physics [in Russian], Moscow (1985), pp. 54-56.
12. A. I. Prilepko and D. G. Orlovskii, Dokl. Akad. Nauk SSSR, 305, No. 5, 1045-1049 (1989).
13. J. R. Cannon and Y. Lin, Inverse Problems, 4, No. 1, 35-45 (1988).
14. A. I. Prilepko and A. B. Kostin, Mat. Sb., 183, No. 4, 49-68 (1992).
15. N. Ya. Beznoshchenko, Sib. Mat. Zh., 26, No. 3, 473-482 (1975).
16. N. Ya. Beznoshchenko and A. I. Prilepko, in: Problems of Mathematical Physics and Calculational Mathematics [in Russian], Moscow (1977), pp. 51-63.
17. N. V. Muzylev, Zh. Vychislit. Mat. Mat. Fiz., 20, No. 2, 388-400 (1980).
18. A. N. Tikhonov and V. Ya. Arsenin, Methods for Solving Ill-Posed Problems [in Russian], Moscow (1986).
19. M. M. Lavrent'ev, V. G. Romanov, and S. P. Shishatskii, Ill-Posed Problems of Mathematical Physics and Analysis [in Russian], Moscow (1980).
20. V. K. Ivanov, V. V. Vasin, and V. P. Tanana, Theory of Linear Ill-Posed Problems and Their Applications [in Russian], Moscow (1978).
21. V. G. Romanov, Inverse Problems of Mathematical Physics [in Russian], Moscow (1984).
22. V. Isakov, Inverse Source Problems, AMS Math. Surveys and Monographs, Ser. 34, Providence (1990).
23. M. M. Lavrent'ev and L. Ya. Savel'ev, Linear Operators and Ill-Posed Problems [in Russian], Moscow (1991).
24. A. B. Kostin and A. I. Prilepko, Differents. Uravn., 32, No. 1, 127-136 (1996).
25. A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs (1964).
26. G. Myuntts, Integral Equations [Russian translation], Leningrad (1934).
27. A. V. Bitsadze, Equations of Mathematical Physics [in Russian], Moscow (1982).