Nguyen Duong Toan

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We consider for ρ ∈ [0, 1) and ε > 0, the nonclassical diffusion equation on RN (N ≥ 3) with a singularly oscillating external force, ut −∆ut −∆u+ f(x, u) + λu = g0(x, t) + ε−ρg1(t/ε), together with equation ut −∆ut −∆u+ λu+ f(x, u) = g0(x, t) formally correspornding to the limiting case ε = 0. Under suitable assumptions on the external force, the uniform(More)
The existence and uniqueness of a variational solution are proved for the following nonautonomous nonclassical diffusion equation ut − εΔut − Δu f u g x, t , ε ∈ 0, 1 , in a noncylindrical domain with homogeneous Dirichlet boundary conditions, under the assumption that the spatial domains are bounded and increase with time. Moreover, the nonautonomous(More)
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