On the existence, uniqueness and the stability of a solution to a cooling problem, for an isotropic 3-D solid

Applied Mathematics and Computation

Volumn 163, Issue 2, 2005, Pages 693-703

  Hlomuka, Joe ^a  

^a NELSON MANDELA METROPOLITAN UNIVERSITY   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

COOLING; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; HEAT FLUX; HEAT LOSSES; LYAPUNOV METHODS; MATHEMATICAL OPERATORS; SET THEORY;

HEAT ENERGY; SOBOLEV SPACES; TEST FUNCTIONS;

PROBLEM SOLVING;

EID: 13544254285     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.04.010     Document Type: Article

References (7)

1. Adams R.A. Sobolev Spaces. 1975;Academic Press, New York
2. R.W. Carroll, Abstract methods in partial differential equations, Harper Series in Modern Mathematics, Harper& Row Publications, Inc., Evanston & London, New York, 1969
3. Carslaw H.S., Jaeger J.C. Conduction of Heat in Solids. 1959;Claredon Press, London
4. Hirsch M.W., Smale S. Differential equations, dynamical systems and linear algebra. 1974;Academic Press, Inc, New York
5. Kreyszig E. Introductory Functional Analysis with Applications. 1978;John Wiley & Sons Inc, New York
6. Lions J.L., Magenes E. Non-homogeneous Problems and Applications. 1972;Springer-Verlag, Berlin
7. Zeidler E. Non-linear functional analysis and its applications (fixed-point theorems). Vol. I:1992;Springer-Verlag