Sentence examples similar to this well posed from inspiring English sources

It is easy to see that the parabolic problem (2.6) is a backward one, and this problem is well posed.

This definition is well posed, i.e., F is nonempty-valued according to (ii) and (iii), and it is easy to see that F is also convex-valued.

This problem is well posed for a large p, and the existence and uniqueness of the asymptotic behavior as p→∞ are established in [22].

It has been shown that this problem is locally well posed for initial data (u_{0}in H^{s} ) with (s>frac{3}{2}) [25 27].

The aim of this work is to prove that this latter equation is globally well posed in L2 or H1.

To optimize the homogenized properties of the unit cell we again use topology optimization and to make this unit cell optimization problem well posed we use restriction and thereby obtain a minimum microstructural length scale.

The primary binding site can be postulated to correspond to the original binding site in the MD simulations since in the crystal structure PhC is well posed at this site in the PDC109/b domain of protomer A and in the PDC109/a and PDC109/b domains of protomer B (Fig. 4 F H).

Therefore, our study is not well posed to answer this question more quantitatively.

At this point the problem is onlyweakly hyperbolic, thus onlyweakly well posed.

In Sect. 4 we develop this argument to show that all systems in Sect. 2 are well posed and that the concentration processes are all valued in ([0,1]).

Instead, it is well posed in formulations that aim to find unknown scaling exponents, this observation is used presently to formulate a new power-law dynamic model.