Global Existence and Exponential Stability for a Quasilinear Wave Equation with Memory Damping at the Boundary

2008 ◽  
Vol 139 (3) ◽  
pp. 617-634 ◽  
Author(s):  
Q. Zhang
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Exponential Stability ◽  
Quasilinear Wave Equation ◽  
With Memory

On a quasilinear wave equation with memory

1991 ◽  
Vol 16 (1) ◽  
pp. 61-78 ◽  
Author(s):  
Ricardo Torrejón ◽  
Jiongmin Yong
Keyword(s):  
Wave Equation ◽  
Quasilinear Wave Equation ◽  
With Memory

On a quasilinear wave equation with nonlinear damping

1988 ◽  
Vol 110 (3-4) ◽  
pp. 227-239 ◽  
Author(s):  
Dang Dinh Hai
Keyword(s):  
Wave Equation ◽  
Initial Data ◽  
Global Existence ◽  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Nonlinear Damping ◽  
Quasilinear Wave Equation ◽  
Uniqueness Of The Solution ◽  
Global Existence And Uniqueness ◽  
Image Position

SynopsisWe prove the global existence and uniqueness of the solution of the initial and boundary value problem for the equationby using the classical Galerkin method when the forcing term and the initial data are in some sense small. The asymptotic behaviour of the solution as t → ∞ is also considered.

scholarly journals Global Existence for a Quasilinear Wave Equation Outside of Star-Shaped Domains

2002 ◽  
Vol 189 (1) ◽  
pp. 155-226 ◽  
Author(s):  
Markus Keel ◽  
Hart F. Smith ◽  
Christopher D. Sogge
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Quasilinear Wave Equation
Sign in / Sign up

Export Citation Format

Share Document