Phragm�n-Lindel�f and continuous dependence type results in generalized heat conduction

1996 ◽  
Vol 47 (4) ◽  
pp. 527-538 ◽  
Author(s):  
L. E. Payne ◽  
J. C. Song
1997 ◽  
Vol 07 (01) ◽  
pp. 125-138 ◽  
Author(s):  
L. E. Payne ◽  
J. C. Song

In this paper we investigate continuous dependence on the initial-time geometry for solutions of a generalized heat conduction system. Assuming the initial data to be measured on a surface t = εF(x), for |F| < 1, and assigned at t = 0, we examine the effects of this error in the initial-time geometry on the solution both forward and backward in time.


2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Ahmed E. Abouelregal ◽  
K. M. Khalil ◽  
F. A. Mohammed ◽  
M. E. Nasr ◽  
Adam Zakaria ◽  
...  

2006 ◽  
Vol 73 (6) ◽  
pp. 846-850 ◽  
Author(s):  
L. S Pan ◽  
D Xu ◽  
J Lou ◽  
Q Yao

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