Recent activity by Jacek Chmielewski

Recent activity by Jacek Chmielewski

In two dimensions suppose u=u(r,θ) satisfies Laplaces equation Δu=0 in the disk 0≤ r<2, and on the boundary it satisfies u(2,θ)=3sin2θ+1,0≤θ<2π. What is the value of u at the origin? Where do the maximum and minimum of u occur in the closed domain 0≤r≤2?

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1 answer 114k views

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1 answer 229k views

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