Divergence operator Divergence operator
Linear differential operators Linear differential operators
CAUCHY-RIEMANN operator CAUCHY-RIEMANN operator
CAUCHY-RIEMANN operator Index
© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany

LAPLACE operator

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Für  u∈C2(Ω)  sei
L(u) := div (∇u) =Δu =
n
i=1
i2 u =
n
i=1
2ei u .
Es ist  aα=1  für  α=2ei ,  aα=0  sonst. Eine Funktion  u  heißt harmonisch in  Ω , falls  Δu = 0  in  Ω .
Version 1.5
H.W. Alt - 02.01.2007

Divergence operator Divergence operator
Linear differential operators Linear differential operators
CAUCHY-RIEMANN operator CAUCHY-RIEMANN operator
CAUCHY-RIEMANN operator Index
© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany