biharmonic equation


Definition. 1.

A real-valued function V:RnR of class (http://planetmath.org/http://planetmath.org/encyclopedia/Cn.html) C4, and satisfying the equation

4V=0, (1)

also defines a biharmonic function, and (1) is called the biharmonic equationMathworldPlanetmath. Biharmonic operator is defined as

4:=k=1n4xk4+2k=1n-1l=k+1n4xk2xl2
Title biharmonic equation
Canonical name BiharmonicEquation
Date of creation 2013-03-22 16:03:19
Last modified on 2013-03-22 16:03:19
Owner perucho (2192)
Last modified by perucho (2192)
Numerical id 9
Author perucho (2192)
Entry type Definition
Classification msc 31B05