Generic well-posedness of an inverse parabolic problem - The Hölder-space approach

Inverse Problems

Volumn 12, Issue 3, 1996, Pages 195-205

  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: 0011040966     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/12/3/002     Document Type: Article

References (12)

1. Choulli M 1993 Un résultat d'existence pour un problème inverse C.R. Acad. Sci., Paris Série I 316 1401-6
2. Choulli M 1994 An inverse problem for a semilinear parabolic equation Inverse Problems 10 1123-32
3. Friedman A 1964 Partial Differential Equations of Parabolic Type (Englewood Cliffs, NJ: Prentice Hall)
4. Gilbarg D and Trudinger N S 1977 Elliptic Partial Differential Equations of Second Order (Berlin: Springer)
5. Hoffman K H and Yamamoto M 1993 Generic uniqueness and stability in some inverse parobolic problem Proc. Lapland Conf. (Lecture Notes in Physics 422) ed L Päivärinta and E Somersalo (Berlin: Springer) pp 49-54
6. Iaskov V 1991 Inverse parobolic problems with the final overdetermination Commun. Pure. Appl. Math. 54 185-209
7. Iaskov V 1990 Inverse Source Problems (Mathematical surveys and Monographs 34) (Providence, RI: American Mathematical Society)
8. John F 1986 Partial Differential Equations 4th edn (New York: Springer)
9. Kato T 1976 Perturbation Theory for Linear Operators 2nd edn (Berlin: Springer)
10. Ladyzenskaja O A. Solonnikov V A and Ural' ceva N N 1968 Linear and Quati-Linear Equations of Parobolic Type (Providence, RI: American Mathematical Society)
11. Prilepko A I and Solve'ev V V 1987 Solvability of the inverse boundry-value problem of finding a coefficient of a lower derivative in a parabolic equation Diff. Eq. 23 101-7
12. Yu W 1991 On the existence of an inverse problem J. Math. Anal. Appl. 157 63-74