LAPLACE operator
Linear differential operators
Diffusion operator
Index
© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany
CAUCHY-RIEMANN operator
This node has not yet been translated
This is the original german version
Für
u ∈C
1
(Ω;
R
2
) sei
L
(u)
:=
1
2
∂
1
u
1
-∂
2
u
2
∂
1
u
2
+ ∂
2
u
1
=
1
2
1
0
0
1
∂
1
u +
1
2
0
-1
1
0
∂
2
u
=
1
2
(∂
1
u +
i
∂
2
u) =: ∂
conj
(z)
u
Eine Funktion u heißt
holomorph
in
Ω , falls
L
(u)=∂
conj
(z)
u = 0 in Ω .
Version 1.5
H.W. Alt - 02.01.2007
LAPLACE operator
Linear differential operators
Diffusion operator
Index
© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany
