3 papers
math.AP2007
Finite time blow-up results for the damped wave equations with arbitrary initial energy in an inhomogeneous medium
Yanjin Wang
In this paper we consider the long time behavior of solutions of the initial value problem for the damped wave equation of the form \begin{eqnarray*} u_{tt}-ρ(x)^{-1}Δu+u_t+m^2u=f(…
math.AP2007
A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy
Yanjin Wang
In this paper we consider the nonexistence of global solutions of a Klein-Gordon equation of the form \begin{eqnarray*} u_{tt}-Δu+m^2u=f(u)& (t,x)\in [0,T)\times\R^n. \end{eqnarray…
math.AP2007
Nonexistence of global solutions of a class of coupled nonlinear Klein-Gordon equations with nonnegative potentials and arbitrary initial energy
Yanjin Wang
In the paper we consider the nonexistence of global solutions of the Cauchy problem for coupled Klein-Gordon equations of the form \begin{eqnarray*} \left\{\begin{array}{l} u_{tt}-…