Furthermore, we address the behavior of weak solutions to the problem near the origin under suitable assumptions for the nonlinear term f.
By using the concavity method, we establish a blow-up result of the solutions under suitable assumptions on the initial energy.
The consideration of suitable assumptions on the diffusion coefficients will be based on [1], where the degenerate scalar equation was studied.
In [25], Kirane and Said-Houari studied a viscoelastic wave equation with a delay term in internal feedbacks, and they proved the global well-posedness of the IBVP to the equation by using some suitable assumptions on the relaxation function and some restriction on the parameters (mu_{1}) and (mu_{2}).
The FEM results allow us to understand some details about the air motion inside the panel, and to define suitable assumptions for the construction of a simplified analytical model of the panel.
The proposed backstepping procedure, in association with sliding model control technique, exploits the possibility of avoiding, under certain suitable assumptions, the overparameterization problem existing in the classical backstepping process.
In 2007, Ejiri [11] reformulates a nonlinear SOCBLP as a mathematical program with second-order cone complementarity constraints (SOCMPCC), and he proposes a smoothing method which has the global convergence property to a Clarke- (C-) stationary point of the SOCMPCC under suitable assumptions.
Both experimental and numerical study are performed with the aim of establishing suitable assumptions for the numerical resolution of mass transfer problems characterized by high Schmidt number.
where K λ ( t ) is the kernel satisfying suitable assumptions and λ ∈ Λ (where Λ is a given set of non-negative numbers with accumulation point λ 0 ).
