On a sideways parabolic equation

Inverse Problems

Volumn 13, Issue 2, 1997, Pages 297-309

  Hào, Dinh Nho ^a,b   Reinhardt, H J ^b  

^a INSTITUTE OF MATHEMATICS   (Viet Nam)

^b UNIVERSITY OF SIEGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000427780     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/2/007     Document Type: Article

References (15)

1. Carasso A 1982 Determining surface temperatures from interior observations SIAM J. Appl. Math. 47 558-74
2. Coddington E A and Levinson N 1955 Theory of Ordinary Differential Equations (New York)
3. Dinh Nho Hào 1994 A mollification method for ill-posed problems Numer. Math. 68 469-506
4. Dinh Nho Hào 1995 A noncharacteristic Cauchy problem for linear parabolic equations I: solvability Math. Nachr. 171 177-206
5. Dinh Nho Hào 1995 Methods for inverse heat conduction problems Habilitationsschrift University of Siegen p 249
6. Dinh Nho Hào 1996 A mollification method for a noncharacteristic Cauchy problem for a parabolic equation J. Math. Anal. Appl. 199 873-909
7. Eidén L 1995 Numerical solution of the sideways heat equation Inverse Problems in Diffusion Processes ed H W Engl and W Rundel (Philadelphia, PA: SIAM, GAAM) pp 130-50
8. Holmgren E 1904 Sur l'́extension de la méthode d'intégration de Riemann Arkiv för Math, 1 315-26
9. Knabner P and Vessella S 1988 The optimal stability estimate for some ill-posed Cauchy problems for a parabolic equation Math. Methods Appl. Sci. 10 575-83
10. Naimark M A 1954 Investigation of the spectrum and expansion in eigenfunctions of a non-selfadjoint differential operator of the 2nd order on the half-axis Trudy Moskov. Mat. Obshch. 3 181-270 (Engl. transl. 1960 Am. Math. Soc. Transl. (II) 16 103-93)
11. Naimark M A 1954 Investigation of the spectrum and expansion in eigenfunctions of a non-selfadjoint differential operator of the 2nd order on the half-axis Trudy Moskov. Mat. Obshch. 3 181-270 (Engl. transl. 1960 Am. Math. Soc. Transl. (II) 16 103-93)
12. Protter M H and Weinberger H F 1984 Maximum Principles in Differential Equations (New York: Springer)
13. Talenti G and Vessella S 1982 A note on an ill-posed problem for the heat equation J. Austral. Math. Soc. (Series A) 32 358-68
14. Tamarkin J 1927 Some general problems of the theory of ordinary differential equations and expansion of an arbitrary function in series of fundamental functions Math. Z. 27 1-54.
15. Widder D 1972 The Laplace Transform (Princeton, NJ: Princeton University Press)