On the existence of solutions of strongly damped nonlinear wave equations

Autor: Jong Yeoul Park, Jeong Ja Bae
Jazyk: angličtina
Rok vydání: 2000
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 23, Iss 6, Pp 369-382 (2000)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171200000971
Popis: 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, where q>1,λ>0,μ∈ℝ,α,β≥0,α+β>0, and Δ is the Laplacian in ℝN.
Databáze: Directory of Open Access Journals
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