Sentence examples for it well posed from inspiring English sources

One concern with the application of a system of linear equations such as used here is the mathematical structure of the problem: is it well posed, what is the dimensionality and conditioning of the matrix.

So there you have it: a well posed problem with some interesting physics to boot.

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.

We show that the Cauchy Problem for a randomly forced, periodic multi-dimensional scalar first-order conservation law with additive or multiplicative noise is well posed: it admits a unique solution, characterized by a kinetic formulation of the problem, which is the limit of the solution of the stochastic parabolic approximation.

Recently, in [22], the authors proposed a new regularization based on the previous interpolation of Perona-Malik and p-Laplacian with large value of p. Their model is well posed, it reduces the staircase effect and avoids creating new features in the image, they have also done a study of the limiting problem.

This means that the regularity condition (3) is not well posed because it is not compatible with the contractivity condition (and the fact that (H(g(X times g(X))) is not necessarily d-complete).

In fact, it is not even clear if the minimum mean square problem is well posed neither is it clear if an MMSE solution exists.

By [23], problem (37), (36b) is well posed and therefore it is suitable for the numerical treatment.

The inverse problem is well posed, and its solution is unique.

The model is well posed both mathematically and thermodynamically: it is hyperbolic and compatible with the second law of thermodynamics.

It is shown that the equation is locally well posed when the initial data are sufficiently smooth.