scholarly journals Global existence for a quasilinear wave equation outside of star-shaped domains

2001 ◽  
pp. 1-6
Author(s):  
Hart F. Smith
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Quasilinear Wave Equation

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

On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

2021 ◽  
Vol 62 (3) ◽  
pp. 031512
Author(s):  
Adel M. Al-Mahdi ◽  
Mohammad M. Al-Gharabli ◽  
Mohammad Kafini ◽  
Shadi Al-Omari
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Past History
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