Determination of the source term in the heat conduction equation

Inverse Problems

Volumn 12, Issue 3, 1996, Pages 325-339

  Nanda, Arati ^a   Das, Purna C ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0343303336     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/12/3/011     Document Type: Article

References (11)

1. Anger G 1990 Inverse Problems in Differential Equations (New York: Plenum)
2. Aris R 1975 The Mathematical Theroy of Diffusion and Reaction in Permeable Catalysts V-I (Oxford:
3. Cannon J R 1964 The One Dimensional Heat Equation (Reading, MA: Addison-Wesley)
4. Das P C and Nanda A 1996 Determination of the non-linear reaction term in a coupled Reaction-Diffusion system Preprint IIT Kanpur, India
5. DuChateau P and Rundell W 1985 Unicity in an inverse problem for an unknown reaction term in a reaction diffusion equation J. Diff. Equations 59 155-64
6. Frank-Kamenetskii D A 1955 Diffusion and Heat Exchange in Chemical kinetics (Princeton, NJ: Princeton University Press)
7. Friedman A 1964 Partial Differential Equations of Parabolic Type (Englewood Cliffs, NJ: Prentice-Hall)
8. Muzylev N V 1980 Uniqueness theorems for some convergence problems of heat condution. USSR Comput. Maths. Phys. 20 120-34
9. Nanda A 1994 Analysis and determination of the source term in coupled reaction diffusion and heat conduction prablems PhD Thesis Department of Mathematics, IIT Kanpur, India
10. Pilant M S and Rundell W 1987 An inverse problem for a nonlinear parabolic equation Commun. Part. Diff. Equations 11 445-57
11. Pilant M S and Rundell W 1988 Fixed point methods for a nonlinear parabolic inverse coefficient problem Commun. Part. Diff. Equations 13 469-93