« previous next »
Pages: [1]

Author Topic: HA10 Problem 3  (Read 4008 times)

Victor Ivrii

  • Administrator
  • Elder Member
  • *****
  • Posts: 2607
  • Karma: 0
    • View Profile
    • Personal website of Victor Ivrii
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.
Logged

Chaojie Li

  • Full Member
  • ***
  • Posts: 21
  • Karma: 0
    • View Profile
Re: HA10 Problem 3
« Reply #1 on: April 02, 2015, 08:32:49 PM »
My answer
Logged

Mark Nunez

  • Full Member
  • ***
  • Posts: 16
  • Karma: 0
    • View Profile
Re: HA10 Problem 3
« Reply #2 on: April 02, 2015, 09:02:04 PM »
Different answers.  :-\
Logged

Victor Ivrii

  • Administrator
  • Elder Member
  • *****
  • Posts: 2607
  • Karma: 0
    • View Profile
    • Personal website of Victor Ivrii
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)
Logged
Pages: [1]
« previous next »