Exercise 32 (CAUCHY's residue theorem) Exercise 32 (CAUCHY's residue theorem)
Exercises Exercises
Exercise 34 (DIRICHLET integral) Exercise 34 (DIRICHLET integral)
Exercise 34 (DIRICHLET integral) Index
© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany

Exercise 33 (Fundamental solution)

english This node has not yet been translated
This is the original german version german


Fundamental solution    [aufgabe:33]
Für  n=3  betrachte den Differentialoperator  L:=-(Δ+c)  mit  c= const. >0 . Zeige, dass die Funktion
F(x):=
cos( sqrt(c)|x|)
4π|x|
eine Fundamentallösung zu  L  ist.
Version 1.5
H.W. Alt - 02.01.2007

Exercise 32 (CAUCHY's residue theorem) Exercise 32 (CAUCHY's residue theorem)
Exercises Exercises
Exercise 34 (DIRICHLET integral) Exercise 34 (DIRICHLET integral)
Exercise 34 (DIRICHLET integral) Index
© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany