BabelNet

bn:01007197n

Noun Concept

Categories: Articles with short description, Partial differential equations, Numerical analysis

well-posed problem F(x,y)=0 ill-posed ill-posed problem ill-posed problems

In mathematics, a well-posed problem is one for which the following properties hold: The problem has a solution The solution is unique The solution's behavior changes continuously with the initial conditionsExamples of archetypal well-posed problems include the Dirichlet problem for Laplace's equation, and the heat equation with specified initial conditions. Wikipedia

Definitions

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functional relationship F between some input x and output y such that y=g(x) and g is Lipschitz in a neighbourhood of every x Wikidata

IS A

function

mathematical problem

STUDIED BY

numerical analysis

Wikipedia

well-posed problem

Wikidata

well-posed problem

Wikipedia Redirections

ill-posed, ill-posed problem, ill-posed problems, Ill-posedness, Ill posed, well-conditioned problem, Well-poised, well-posed, Well-posed problem (numerical analysis), well-posedness

Wikidata Alias

stable problem, F(x,y)=0