Author Topic: HA10 Problem 3  (Read 375 times)

Victor Ivrii

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HA10 Problem 3
« on: March 26, 2015, 03:10:41 PM »
Consider distributions now. Calculate right from the definition

a. $x^3\delta''(x)$;
b. $x^2\delta''(x)$;
c. $x^2\delta '''(x)$.

The results may be written through $\delta$-function or its derivatives of the smallest possible order.

Chaojie Li

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Re: HA10 Problem 3
« Reply #1 on: April 02, 2015, 08:32:49 PM »
My answer

Mark Nunez

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Re: HA10 Problem 3
« Reply #2 on: April 02, 2015, 09:02:04 PM »
Different answers.  :-\

Victor Ivrii

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Re: HA10 Problem 3
« Reply #3 on: April 03, 2015, 12:21:55 PM »
Mark is completely correct. Chaojie gave a correct answer to b, correct but unfinished to a (he got $2x\delta$ but this is just $0$—see Mark's solution)