Spatial Decay Estimates for Cone- like Shaped Elastic Solids

Author(s):  
Ramón Quintanilla
2021 ◽  
Vol 42 (0) ◽  
pp. 1-9
Author(s):  
SHI Jincheng ◽  
◽  
◽  
XIAO Shengzhong ◽  
◽  
...  

2001 ◽  
Vol 77 (3-4) ◽  
pp. 211-231 ◽  
Author(s):  
Stan Chiriţă ◽  
Michele Ciarletta ◽  
Mauro Fabrizio

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Gusheng Tang ◽  
Yan Liu ◽  
Wenhui Liao

The spatial behavior of a coupled system of wave-plate type is studied. We get the alternative results of Phragmén-Lindelöf type in terms of an area measure of the amplitude in question based on a first-order differential inequality. We also get the spatial decay estimates based on a second-order differential inequality.


1995 ◽  
Vol 05 (06) ◽  
pp. 755-775 ◽  
Author(s):  
L.E. PAYNE ◽  
G.A. PHILIPPIN

In this paper we derive a new maximum principle for the absolute value of the gradient of a solution to the heat equation. We then apply this principle to obtain explicit bounds in the associated Dirichlet problem. Finally we derive explicit pointwise St-Venant type spatial decay estimates for solutions of certain initial-boundary value problems and their gradients in the case of unbounded domains.


1987 ◽  
Vol 17 (3) ◽  
pp. 249-264 ◽  
Author(s):  
J. N. Flavin ◽  
R. J. Knops

1993 ◽  
Vol 24 (6) ◽  
pp. 1395-1413 ◽  
Author(s):  
K. A. Ames ◽  
L. E. Payne ◽  
P. W. Schaefer

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