On the existence of solutions of strongly damped nonlinear wave equations
2000 ◽
Vol 23
(6)
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pp. 369-382
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Keyword(s):
We investigate the existence and uniqueness of solutions of the following equation of hyperbolic type with a strong dissipation:utt(t,x)−(α+β(∫Ω|∇u(t,y)|2dy)γ)Δu(t,x) −λΔut(t,x)+μ|u(t,x)|q−1u(t,x)=0, x∈Ω,t≥0 u(0,x)=u0(x), ut(0,x)=u1(x), x∈Ω, u|∂Ω=0, whereq>1,λ>0,μ∈ℝ,α,β≥0,α+β>0, andΔis the Laplacian inℝN.
2000 ◽
Vol 42
(7)
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pp. 1231-1252
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Keyword(s):
1998 ◽
Vol 147
(2)
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pp. 231-241
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Keyword(s):
1999 ◽
Vol 24
(11-12)
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pp. 110-133
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2002 ◽
Vol 52
(4)
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pp. 781-795
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Keyword(s):
1983 ◽
Vol 48
(3)
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pp. 334-349
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Keyword(s):