well-posed problem

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well-posed problem

[′wel ¦pōzd ′präb·ləm]
(mathematics)
A problem that has a unique solution which depends continuously on the initial data.
References in periodicals archive ?
The proposed research aims at (i) understanding the natural setting of frictions models from well-posedness principles, (ii) developing a consistent integration theory, and (iii) investigating implications for optimization problems.
Among the topics are the Laplace equation, the well-posedness of the water waves equations, shallow water asymptotics, deep water models and modulation equations, and water waves with surface tension.
Hu: Parametric well-posedness for variational inequalities defined by bifunction, Comput.
After recalling an abstract well-posedness and preconditioning result [47], we use this theory to construct a parameter-robust preconditioner for our problem.
Well-posedness in some non-standard norms: a constructive approach.
So far, we obtained a well-posedness result for our problem with the nice parameterindependent constants 1/[square root of 5] and 2.
Among the topics are fractional calculus associated with doubling and non-doubling measures, some recent developments in the well-posedness of non- linear dispersive equations, and variation inequalities for singular integrals and related operators.
when there are no Neumann-Neumann vertices), we also obtain a well-posedness result for the weight parameter [?
As in these papers, we use weighted Sobolev spaces, but our emphasis is not on singular functions, but rather on well-posedness results.
We exploit these results and spectral analysis to obtain a new well-posedness result in a properly augmented space [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
eddy currents, potential formulation, well-posedness, finite elements, error estimates
5], where the well-posedness of some of these formulations is analyzed, and another one by Biro and Valli [16] with the analysis of one such formulation in a general topological setting.