Sentence examples similar to were well posed from inspiring English sources

This means that (u_{k}) should be well posed with respect to (w_{0}), which is called the well-posed condition of iterative functions, that is, c_{1} e) biglvert nabla u_{k} e) bigrvert ^{p-2} le biglvert nabla w_{0} e) bigrvert le c_{2} e) biglvert nabla u_{k} e) bigrvert ^{p-2}, (3.6) where (c_{1} e)) and (c_{2} e)) meet the requirements of Definition 2.

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

Then, we establish a suitable framework and conditions where the martingale problem is well posed.

The mixed problem for the Boltzmann equation is well posed in every respect.

The positivity of the solution and stability results are simply obtained, provided that the underlying process is well posed.

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

We also prove that certain transmission problems for k-forms are well posed for small perturbations of block matrices.

In addition, a suitable Lagrange multiplier is needed to ensure that the corresponding discrete variational formulation is well posed.

Applying a nonlinear version of the well known Babuška Brezzi theory, we prove that the discrete formulation is well posed and derive the corresponding a priori error analysis.

In the context of Lp forms in Lipschitz domains, we show that both are

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.