scholarly journals Blowup of Small Data Solutions for a Quasilinear Wave Equation in Two Space Dimensions

1999 ◽  
Vol 149 (1) ◽  
pp. 97 ◽  
Author(s):  
Serge Alinhac
Keyword(s):  
Wave Equation ◽  
Small Data ◽  
Quasilinear Wave Equation ◽  
Two Space Dimensions

scholarly journals Approximation and Support Theorem for a Wave Equation in Two Space Dimensions

Bernoulli ◽  
2000 ◽  
Vol 6 (5) ◽  
pp. 887 ◽  
Author(s):  
Annie Millet ◽  
Marta Sanz-Solé ◽  
Marta Sanz-Sole
Keyword(s):  
Wave Equation ◽  
Support Theorem ◽  
Two Space Dimensions

The Quasilinear Wave Equation for Antiplane Shearing of Nonlinearly Elastic Bodies

2001 ◽  
Vol 171 (1) ◽  
pp. 201-226 ◽  
Author(s):  
Dawn A. Lott ◽  
Stuart S. Antman ◽  
William G. Szymczak
Keyword(s):  
Wave Equation ◽  
Quasilinear Wave Equation ◽  
Elastic Bodies ◽  
Nonlinearly Elastic

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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