噓 WayYoung:10% 11/22 15:23
[領域] (題目相關領域)
電磁學
[來源] (課本習題、考古題、參考書...)
[題目]
suppose LaplacianV=0 in a space region # bounded by the closed surface S
(a) If the normal derivative
V對n偏微分=gradientV對n內積
is specied for every point on S, show that V is determined up to a constant
everywhere in #.
(b) 10% If the value of V is specied on the portion S1 of the surface S, and
the normal
derivative is specied on the rest of S, show that V is unique in #.
(Hint: Make use of the Green's theorem)
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