Exercise 3 (Harmonic functions)
Exercises
Exercise 5 (Radial symmetric solutions)
Index
© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany
Exercise 4 (Product ansatz)
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Product ansatz
[aufgabe:4]
Für
λ∈
R
betrachte die Differentialgleichung für den
HELMHOLTZ-Operator
L
λ
(u):= -Δu + λu :
-Δu + λu = 0 in
R
n
.
Bestimme alle nicht-trivialen Lösungen der Gestalt
u(x
1
,...,x
n
) = u
1
(x
1
)·...·u
n
(x
n
) .
Bemerkung:
Siehe auch
sect:1-3-(2)
der Vorlesung.
Version 1.5
H.W. Alt - 02.01.2007
Exercise 3 (Harmonic functions)
Exercises
Exercise 5 (Radial symmetric solutions)
Index
© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany
