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transformed into an optimal control problem by the optimization theory. The existence, uniqueness and necessary condition of the …
Persistent link: https://www.econbiz.de/10010870569
In this paper we study the initial boundary value problem of wave equations with nonlinear damping and source terms:utt−Δu+a|ut|m−1ut=b|u|p−1u,x∈Ω,t0,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 suitably smooth bounded domain. We prove that for any a0...
Persistent link: https://www.econbiz.de/10011050485
the decline of pM on the “existence” of solution to the game, its “stability”, and finally on the utility levels of two … countries in the “stability” case. By simulation we show that as pM falls, the number of “non-existence” cases increases, the … percentage of “instability” cases among “existence” cases rises, and finally as pM falls, the percentage of “rising utility …
Persistent link: https://www.econbiz.de/10011050903
theorems include Hadamard local wellposedness, global existence, blow-up and non-existence theorems, as well as estimates on …
Persistent link: https://www.econbiz.de/10011051030