Next: 7.37, §4 Eigenfunctions Up: 7.37 Previous: 7.37, §2 P.D.E.

7.37, §3 Boundaries

It would work to set u=u₀+v where

and then set

Instead, we will follow a more elegant procedure:

Add the solutions to the two problems to solve the original problem.

However, this procedure has a difficulty. The instructor will solve the left hand problem. The students will solve the right hand problem, identify the difficulty, and fix it.

(The procedure in the book has the problem even worse.)

Next: 7.37, §4 Eigenfunctions Up: 7.37 Previous: 7.37, §2 P.D.E.

11/27/00 0:35:01