scholarly journals Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy

2011 ◽  
Vol 260 (10) ◽  
pp. 2933-2963 ◽  
Author(s):  
Imen Ben Hassen ◽  
Alain Haraux
Keyword(s):  
Potential Energy ◽  
Second Order ◽  
Negative Potential ◽  
Decay Estimates

scholarly journals Spatial Behavior of a Coupled System of Wave-Plate Type

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Gusheng Tang ◽  
Yan Liu ◽  
Wenhui Liao
Keyword(s):  
Differential Inequality ◽  
Coupled System ◽  
Second Order ◽  
Spatial Behavior ◽  
Decay Estimates ◽  
Spatial Decay ◽  
Area Measure ◽  
First Order ◽  
Wave Plate ◽  
Plate Type

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.

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