Let a) Prove that Icirc frac14 satisfies the heat equation (i e , Icirc frac14 xx Icirc frac14 t 0 for all t 0 and x R) b) If a 0, prove that u(x, t) 0, as t 0 , uniformly for x a, ) u(x, t) 4st t...

Let a) Prove that Î¼ satisfies the heat equation (i.e., Î¼xx - Î¼t = 0 for all

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Let

a) Prove that Î¼ satisfies the heat equation (i.e., Î¼xx - Î¼t = 0 for all t > 0 and x ˆˆ R).
b) If a > 0, prove that u(x, t) †’ 0, as t †’ 0+, uniformly for x ˆˆ [a, ˆž).

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:21 AM

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Let a) Prove that Î¼ satisfies the heat equation (i.e., Î¼xx - Î¼t = 0 for all

Question:

u(x, t) =- 4st t

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a By the Product Rule b ...View the full answer

An Introduction to Analysis

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