We return to the Dirichlet problem (2.13) in the unit disc. By switching to polar coordinates we obtain for u = u(r, 0). 22 и Ər² + 1 ди + r ər u(1,0) = g(0), 1 8² u r2 მ02 =0, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 47RE
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We return to the Dirichlet problem (2.13) in the unit disc. By switching to
polar coordinates we obtain
[02
u
Ər²
for u = u(r,0).
+
1 ди
+
1 0² u
r² 00²
= 0, 0<r<1, −¬≤0<¬,
2,11
r Or
u(1,0)= g(0), −¬≤0<л,
Transcribed Image Text:We return to the Dirichlet problem (2.13) in the unit disc. By switching to polar coordinates we obtain [02 u Ər² for u = u(r,0). + 1 ди + 1 0² u r² 00² = 0, 0<r<1, −¬≤0<¬, 2,11 r Or u(1,0)= g(0), −¬≤0<л,
Problem 1: Give a formula for the solution of the Dirichlet problem in Section 2.11
when g(t) = 1².
Transcribed Image Text:Problem 1: Give a formula for the solution of the Dirichlet problem in Section 2.11 when g(t) = 1².
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