We consider the initial boundary value problem of the nonlinear damped wave equation in an exterior domain ΩΩ,
View the MathML source{∂t2u−Δu+∂tu=|u|p,t>0,x∈Ω,u(0,x)=u0(x),∂tu(0,x)=u1(x),x∈Ω,u=0,t>0,x∈∂Ω.
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Keywords :
Nonlinear damped wave equations , critical exponent , exterior domains , finite time blow-up