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 ?
They contend that just as machine learning is usually well-posed in reproducing kernel Hilbert, so it is desirable to solve learning problems in Banach spaces endowed with certain reproducing kernels.
It is shown that the model is mathematically and biologically well-posed. In addition, the local and global stabilities of the equilibria are investigated.
[1] show how the KH instability behaves in horizontal stratified flow for a well-posed fixed-flux model with surface tension compared to an ill-posed one without surface tension.
(i) for every [tau] [member of] [0,1], the interconnection of G and t[DELTA] is well-posed;
The really profound discoveries in theoretical physics do not begin as well-posed problems.
It is shown that our approach yields a well-posed and easy-to-implement approximation technique with a high order of accuracy regardless of the singularities of the exact solution.
To show their appreciation, fans of the economist share weekly tributes to the Friedman's legacyas a propopent of laissez faire economics, limited government, and freedom from coercionby usually including a well-posed profile shot of the pensive economist (in which he uncannily resembles August Rodin's "Thinker").
In order to investigate (5.1) we make the following assumption ensuring in particular that the uncontrolled abstract Cauchy problem, i.e., (5.1) with B = 0, is well-posed.
What is important, in particular, is the closed-loop stabilization of dynamic system under appropriate feedback control as a minimum requirement to design a well-posed feedback system.
Let us consider the direct (well-posed) problem of finding the function u(x, y) from the relations
The latter one based on first order Maxwell's curl equations is more suitable to use a well-posed PML when an unbounded region is simulated.
Once sufficiently well-posed questions or technical proposals can be teed up for such an exercise (a nontrivial matter), it only needs someone to frame the questions and fund and manage the exercise.