scholarly journals Global existence of solutions for semi-linear wave equation with scale-invariant damping and mass in exponentially weighted spaces

2018 ◽  
Vol 461 (2) ◽  
pp. 1215-1240 ◽  
Author(s):  
Alessandro Palmieri
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Existence Of Solutions ◽  
Weighted Spaces ◽  
Linear Wave ◽  
Scale Invariant ◽  
Linear Wave Equation ◽  
Global Existence Of Solutions ◽  
Exponentially Weighted

Global Existence of Solutions for some Nonlinear Wave Equation

2014 ◽  
Vol 638-640 ◽  
pp. 1700-1704
Author(s):  
Yue Hu
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Boundary Value Problem ◽  
Nonlinear Wave Equation ◽  
Existence Of Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Dissipative Term ◽  
Global Existence Of Solutions ◽  
Initial Boundary Value

In this paper, we consider the existence of global solution to the initial-boundary value problem for some hyperbolic equation with P-Laplace operator and a nonlinear dissipative term using the compactness criteria and the monotone mapping’s method.

scholarly journals Global existence of solutions to degenerate wave equations with dissipative terms

1999 ◽  
Vol 60 (1) ◽  
pp. 1-10
Author(s):  
Mohammed Aassila
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Asymptotic Behaviour ◽  
Wave Equations ◽  
Existence Of Solutions ◽  
Dissipative Term ◽  
Global Existence Of Solutions ◽  
Asymptotic Behaviour Of Solutions ◽  
Dissipative Terms ◽  
Degenerate Wave Equation

In this paper we prove the global existence and study the asymptotic behaviour of solutions to a degenerate wave equation with a nonlinear dissipative term.

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