In other words, a regularizing procedure is constructed for the IGP.
Usually, we call ψ(x) to the regularizing function.
For an example of function ρ whose regularizing function σ satisfy (h3) we can refer to [17].
Depending on the peculiarity of equation, ill-posed problem is generally resolved via constructing an additional regularizing function to resume stability [23, 24].
We call a regularizing function of the distribution, since is a smooth function of satisfying in the sense of distributions, that is, for every, (3.2).
With small and positive value, parameter β is regulated to ensure that regularizing function J β (F) is differentiable at F = 0.
The result of the inversion analysis may change depending on the regularizing function, the boundary condition of the slip deficit, manipulation of the viscoelastic effect, and so on.
This is probably caused by the low-pass filtering operation of the regularizing functional or inappropriate estimation of the blur function.
The regularizing term P ϕ intrinsically maintains the regularity of the level set function without the need for extra re-initialization procedures.
The regularizing strategy employed in [2] is essentially based on the Tikhonov regularization and the conditional stability estimate ∥ u y ( 0 ) ∥ ≤ E for some a priori constant E.
