推 ckbtlin318 :散度定理? 11/30 17:35
推 G41271 :Green Theorom 11/30 20:17
→ Frobenius :( Let φ = f , ψ = g ) 11/30 23:05
Suppose that f and g sre scalar function with continous first- and
second-order partial derivatives throughout a region E that is
bounded by a closed piecewise smooth surface S. Show that
2
∫∫ f ▽g ·ndS = ∫∫∫ (f▽ g+▽f▽g)dV
S E
and that 2 2
∫∫ (f▽g-g▽f) ·ndS = ∫∫∫ (f▽ g-g▽ f)dV
S E
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