[微積] 兩題偏微方
1 1
(D.E.) Urr+-Ur+ - Uoo=0 Uoo代表對θ偏微兩次
r r^2
r<1
1 ,0<θ<pi
(B.C.) U(1,θ)=
0 ,pi<θ<2pi
U(0,θ)=? 能否直觀地猜出這個事實?
1 1
(D.E.) Urr+-Ur+ - Uoo=0 Uoo代表對θ偏微兩次
r r^2
r1<=r<r2
(B.C.) U(r1,θ)=A U(r2,θ)=B
試利用凸函數解釋所得的解
log(r/r1) log(r/r2)
解為U(r,θ)=A----------+B----------
log(r1/r2) log(r2/r1)
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