scholarly journals EXPONENTIAL STABILITY TO A QUASILINEAR HYPERBOLIC EQUATION WITH INTERNAL DAMPING

2016 ◽  
Vol 29 (3) ◽  
Author(s):  
D.C. Pereira ◽  
C.H.M. Maranh\~ao ◽  
J.A.D. Chuquipoma ◽  
C.A. Raposo
Keyword(s):  
Exponential Stability ◽  
Hyperbolic Equation ◽  
Internal Damping ◽  
Quasilinear Hyperbolic Equation

scholarly journals On a global classical solution of a quasilinear hyperbolic equation

1989 ◽  
Vol 12 (1) ◽  
pp. 29-37 ◽  
Author(s):  
Y. Ebihara ◽  
D. C. Pereira
Keyword(s):  
Hyperbolic Equation ◽  
Classical Solution ◽  
Existence And Uniqueness ◽  
Classical Solutions ◽  
Torsional Vibrations ◽  
Global Classical Solution ◽  
Quasilinear Hyperbolic Equation ◽  
Global Classical Solutions

In this paper we establish the existence and uniqueness of global classical solutions for the equation which arises in the study of the extensional vibrations of thin rod, or torsional vibrations of thin rod.

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