scholarly journals Existence of global solutions for nonlinear wave equations

1982 ◽  
Vol 58 (9) ◽  
pp. 391-394
Author(s):  
Yoshiki Niwa
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Global Solutions ◽  
Nonlinear Wave Equations

scholarly journals Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yaojun Ye
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Decay Estimate ◽  
Global Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Nonlinear Wave Equations ◽  
Stable Set ◽  
Initial Boundary Value ◽  
Damping And Source Terms

The initial-boundary value problem for a class of nonlinear wave equations system in bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set and obtain the asymptotic stability of global solutions through the use of a difference inequality.

Sign in / Sign up

Export Citation Format

Share Document