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1. Examples of variational problems
The model problem can be written as follows:
In other words, we seek to minimize the integral I (u) among all functions u ∊ X (m is then the minimum value that the integral can take), where :
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Examples of variational problems
Classic methods
References
In this dossier, we have followed our book very closely (especially in the first three paragraphs). Numerous books on the subject exist, and we particularly recommend the following (precise references to works not mentioned in this bibliography can be found at ).
For classic methods: Akhiezer , Bliss , Bolza...
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