Critical Exponent for a Class of Semilinear Damped Wave Equations with Decaying in Time Propagation Speed

2020 ◽  
pp. 247-276
Author(s):  
Marcelo Rempel Ebert ◽  
Jorge Marques
Keyword(s):  
Critical Exponent ◽  
Wave Equations ◽  
Propagation Speed ◽  
Time Propagation

A Modified Test Function Method for Damped Wave Equations

2013 ◽  
Vol 13 (4) ◽  
Author(s):  
Marcello D’Abbicco ◽  
Sandra Lucente
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Critical Exponent ◽  
Function Method ◽  
Wave Equations ◽  
Time Dependent ◽  
Small Data ◽  
Test Function ◽  
Test Function Method ◽  
Modified Test

AbstractIn this paper we use a modified test function method to derive nonexistence results for the semilinear wave equation with time-dependent speed and damping. The obtained critical exponent is the same exponent of some recent results on global existence of small data solutions.

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