Maximum Principle
There are many variants of the maximum principle. We give a simple one.
Theorem. (Weak maximum principle.) Let, and assume that . Say that in . Then . In other words, the maximum is attained on the boundary.
A strong maximum principle would conclude that for all unless is constant.
Read more about this topic: Elliptic Boundary Value Problem
Famous quotes containing the words maximum and/or principle:
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—D.H. (David Herbert)
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—Johann Wolfgang Von Goethe (1749–1832)