Sentence examples for well posed by from inspiring English sources

This fact shows that the odd case is not well posed by Definitions 1.9 and 1.11 or, more precisely, the mixed monotone property is not useful to ensure the existence of coincidence points.

For example, Catte et al. [19] showed that the P-M equation can be made well posed by smoothing isotropically the image with a scaling parameter σ, before computing the image gradient used by the diffusion coefficient: (5).

As so well posed by Farshid et al (2008), 'many clinicians are uncomfortable with the watchful waiting approach', as 'delay in the diagnosis of malignancy is one of the chief factors in medico-legal disputes concerning breast disease'.

With this notion of entropy solutions and under the assumptions (A1 - A3), the problem (1.2 - 2.1) is well posed, as is shown by [15] and references therein.

A well posed topology optimization problem is formulated by using restriction which is achieved via a Helmholtz type filter.

We introduce a condition on h which implies that the equation is subcritical, i.e., the corresponding boundary value problem is well posed with respect to data given by finite measures.

Because the inverse reconstruction equation is not well posed, the reconstruction results were influenced by various factors, such as the permissible source region, measurement noise, optical properties, tissue specificity and source positions.

(ii If (VQVI) is type I (resp., type II) LP well posed, (P) is type I (resp., type II) LP well posed with defined by (2.14).

(31) By (30) and (31), the fixed point problem (27) is well posed.

So (VQVI) is generalized type I (resp., generalized type II) LP well posed if and only if (P) is generalized type I (resp., generalized type II) LP well posed with defined by (2.26).

(i VQVI) is generalized type I (resp., generalized type II) LP well posed if and only if (P) is generalized type I (resp., generalized type II) LP well posed with defined by (2.14).