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Lions–Lax–Milgram theorem

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Lions–Lax–Milgram theorem

a result in functional analysis with applications in the study of partial differential equations

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About Lions–Lax–Milgram theorem

In mathematics, the Lions–Lax–Milgram theorem is a result in functional analysis with applications in the study of partial differential equations. It is a generalization of the famous Lax–Milgram theorem, which gives conditions under which a bilinear function can be "inverted" to show the existence and uniqueness of a weak solution to a given boundary value problem. The result is named after the mathematicians Jacques-Louis Lions, Peter Lax and Arthur Milgram.

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