Well-posed problem

From Citizendium
Revision as of 18:19, 14 March 2010 by imported>Peter Schmitt (rough stub)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
This article is a stub and thus not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
This editable Main Article is under development and subject to a disclaimer.

In mathematics, a system of partial differential equations is well-posed (or a well-posed problem) if it has a uniquely determined solution that depends continuously on its data.

The term was first used by Jacques Hadamard to describe systems of equations whose solutions behave as it is (heuristically) expected from a physical system: They are deterministic and they make no "jumps".