Author Topic: Unbounded Terms  (Read 1034 times)

Adam Gao

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Unbounded Terms
« on: March 19, 2018, 06:18:38 PM »
Why do we drop unbounded terms from solutions to PDE's? Specifically, in section 6.2, Laplace equation in half-strip:

$$Y''= \lambda Y$$

yields solution

$$Y=Ae^{-\sqrt{\lambda}y}+Be^{\sqrt{\lambda}y}$$

And then the second term is dropped because it is unbounded




Victor Ivrii

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Re: Unbounded Terms
« Reply #1 on: March 19, 2018, 07:48:49 PM »
We are looking for a bounded solution. You may consider this as "boundary condition at infinity"