Partial Differential Equations

Midterm Exam, November 14, 2012 APM384F - Partial Diﬀerential Equations Page 10 of 13 Midterm Exam, November 14, 2012 APM384F - Partial Diﬀerential Equations ( extra pages ) Page 11 of 13 Midterm Exam, November 14, 2012 APM384F - Partial Diﬀerential Equations ( extra pages ) Page 12 of 13 Midterm Exam, November 14, 2012 APM384F - Partial Diﬀerential Equatio

APM | 384 | Partial Differential Equations | homework | Midterm Exam  November 14  201

APM 384: Problem Sheet 6 Janosch Ortmann November 23, 2013 On this sheet all questions are assessed and of equal weight. Solutions are due before the lecture on Wednesday, November 27 . Solutions to all problems (including ﬁnal answers) will be discussed in the tutorials. 1. (a) Determine, depending on β , how many solutions there are to the bound- ary value p

APM | 384 | Partial Differential Equations | homework | APM 384: Problem Sheet 6 Janos

APM | 384 | Partial Differential Equations | homework | 

Problem Set 5 Due Beginning of Class on November 12th, 2012 1. In Haberman, 4th edition. Solve: 4.4.2, 4.4.3, 12.3.1, 12.3.6, 5.3.4, 5.3.8, 5.3.9, 5.5.5, 5.5.8, 5.5.13, 5.6.2, 7.3.3, 7.5.2, 7.5.6. 2. Prove that the solution to the Dirichlet problem for the n -dimensional Laplace’s equa- tion is unique. Namely show that if the function u ( x ) solves the bound

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