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 ?
Hanke deals solely with linear inverse problems, and his treatment differs from the many others by giving comparable weight to the general theory of ill-posed problems and to details of a variety of applications.
This essay evaluates four possible answers that relate to the role of inference, reliance on forecasts, the need to solve an ill-posed inverse problem, and understanding of errors and uncertainties.
Solving this relationship is an ill-posed inverse problem for which numerous methods have been developed [4].
obtained by suitably discretizing ill-posed operator equations that model many inverse problems arising in various scientific and engineering applications generally requires the use of iterative methods.
2005), resulting in an ill-conditioned or ill-posed problem (Gradinarsky et al.
For example, those arising in inverse problems are often ill-posed because they typically involve the estimation of certain quantities based on indirect measurements.
Regularization theory for ill-posed problems; selected topics.
The ECT image reconstruction problem is an ill-posed inverse problem, to solve this inverse problem the forward problem needs to be solved [15-17].
Key words: advection dispersion equation; backward parabolic equations; hydrologic inversion; image deblurring; ill-posed continuation; non-uniqueness; Van Cittert iteration.
Shishatskii, ILL-Posed Problems of Mathematical Physics and Analysis, Amer.
This problem is often refered to as Cauchy problem and it is well known that these problems are ill-posed [2, 3].