scholarly journals Lower bounds of the life span of classical solutions to a system of semilinear wave equations in two space dimensions

2003 ◽  
Vol 281 (1) ◽  
pp. 22-45 ◽  
Author(s):  
Mariagrazia Di Flaviano
Keyword(s):  
Life Span ◽  
Lower Bounds ◽  
Wave Equations ◽  
Classical Solutions ◽  
Semilinear Wave Equations ◽  
Two Space Dimensions

scholarly journals Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Jincheng Shi ◽  
Shengzhong Xiao
Keyword(s):  
Global Existence ◽  
Life Span ◽  
General Model ◽  
Wave Equations ◽  
Blow Up ◽  
Initial Conditions ◽  
Short Wave ◽  
Classical Solutions ◽  
Global Classical Solutions

We are concerned with the global existence of classical solutions for a general model of viscosity long-short wave equations. Under suitable initial conditions, the existence of the global classical solutions for the viscosity long-short wave equations is proved. If it does not exist globally, the life span which is the largest time where the solutions exist is also obtained.

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