An inverse parabolic problem with non-zero initial condition

Inverse Problems

Volumn 13, Issue 1, 1997, Pages 19-27

  Choulli, Mourad ^a   Yamamoto, Masahiro ^b  

^a UNIVERSITÉ DE FRANCHE COMTÉ   (France)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3343008087     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/1/003     Document Type: Article

References (14)

1. Adams R A 1975 Sobolev Spaces (New York: Academic)
2. Choulli M 1993 Un résultat d'existence pour un problème inverse C. R. Acad. Sci., Paris I 316 1041-6
3. Choulli M 1994 An inverse problem for a semilinear parabolic equation Inverse Problems 10 1123-32
4. Choulli M and Yamamoto M 1996 Generic well-posedness of an inverse parabolic problem - Hölder space approach Inverse Problems 12 195-205
5. Courant R and Hilbert D 1953 Methods of Mathematical Physics I (New York: Interscience)
6. Friedman A 1964 Partial Differential Equations of Parabolic Type (Englewood Cliffs, NJ: Prentice-Hall)
7. Fujiwara D 1967 Concrete characterization of domains of fractional powers of some elliptic differential operators of second order Proc. Japan. Acad. 43 82-6
8. Gilbarg D and Trudinger N S 1977 Elliptic Partial Differential Equations of Second Order (Berlin: Springer)
9. Hoffmann K H and Yamamoto M 1993 Generic uniqueness and stability in some inverse parabolic problem (Proc. Lapland Conf., Lecture Notes in Physics 422) ed L Päivärinta and E Somersalo (Berlin: Springer) pp 49-54
10. Isakov V 1991 Inverse parabolic problems with the final overdetermination Commun. Pure Appl. Math. 54 185-209
11. Ladyzenskaja O A, Solonnikov V A and Ural'ceva N N 1968 Linear and Quasi-linear Equations of Parabolic Type (Providence, RI: AMS)
12. Pazy A 1983 Semigroups of Linear Operators and Applications to Partial Differential Equations (Applied Mathematical Sciences 44) (Berlin: Springer)
13. Prilepko A I and Solov'ev V V 1987 Solvability of the inverse boundary-value problem of finding a coefficient of a lower derivative in a parabolic equation Diff. Eq. 23 101-7
14. Yu W 1991 On the existence of an inverse problem J. Math. Anal. Appl. 157 63-74