1. Background and examples
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Problems well and badly posed
In a famous book, Hadamard introduced the notion of a well-posed problem. This is a problem whose :
the solution exists;
it's unique;
it depends continuously on the data.
Of course, these notions need to be clarified by the choice of spaces (and topologies) in which the data and the solution "live"....
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Background and examples
Linear problems
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