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Coercive Functional


A bilinear functional phi on a normed space E is called coercive (or sometimes elliptic) if there exists a positive constant K such that

 phi(x,x)>=K||x||^2

for all x in E.


See also

Lax-Milgram Theorem

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References

Debnath, L. and Mikusiński, P. Introduction to Hilbert Spaces with Applications. San Diego, CA: Academic Press, 1990.

Referenced on Wolfram|Alpha

Coercive Functional

Cite this as:

Weisstein, Eric W. "Coercive Functional." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CoerciveFunctional.html

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