Mathematics, 20.02.2020 20:55, lovecats12

Show that a Dirichlet problem (see Chapter 13, Section 3) for Laplace’s equation in
a finite region has a unique solution; that is, two solutions u1 and u2 with the same
boundary values are identical. Hint: Consider u2 − u1 and use Problem 37. [Also
see Chapter 13, discussion following equation (2.17).]

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Show that a Dirichlet problem (see Chapter 13, Section 3) for Laplace’s equation in
a finite r...