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- February 6th 2010, 09:22 AM #1

- Joined
- Dec 2008
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- Tel Aviv
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## PDE

Ut=aUxx+cU

U(x,0)=f(x)

U(0,t)=0

Ux(1,t)=0

(Ut - derivative of U according to t

Uxx - second derivative of U according to x)

Question:

Find the smallest C possible, for which the solution U(x,t) does not increase at t increases, for every f(x).

any help would be appreciated ! I have no idea how to begin..

- February 6th 2010, 09:29 AM #2

- February 6th 2010, 09:52 AM #3

- Joined
- Dec 2008
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- Tel Aviv
- Posts
- 35