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- W1997655087 abstract "In this paper we study the initial boundary value problem of multidimensional viscoelasticity equations utt−Δut−∑i=1N∂∂xiσi(uxi)+f(ut)=g(u),x∈Ω,t>0,u(x,0)=u0(x),ut(x,0)=u1(x),x∈Ω,u(x,t)=0,x∈∂Ω,t⩾0,where Ω⊂RN is a bounded domain, (σi(s1)−σi(s2))(s1−s2)>0, f(s)s⩾0, g(s)s⩾0 and satisfy some growth conditions. First we introduce a family of potential wells by using a new method. Then using it we obtain some new existence theorems of global solutions and behaviour of vacuum isolation of solutions." @default.
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- W1997655087 date "2004-03-01" @default.
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- W1997655087 title "Multidimensional viscoelasticity equations with nonlinear damping and source terms" @default.
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- W1997655087 doi "https://doi.org/10.1016/j.na.2003.07.021" @default.
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