Let a(x)=1/2a for a < x < a, and a(x)=0 for

Chapter 12, Problem 12

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Let a(x)=1/2a for a < x < a, and a(x)=0 for |x| > a. Show that a weakly as a 0.

Questions & Answers

QUESTION:

Let a(x)=1/2a for a < x < a, and a(x)=0 for |x| > a. Show that a weakly as a 0.

ANSWER:

Step 1 of 2

Assume  is an arbitrary test function.

                                                      

It is known that . So,

                                               

Simplify further.

                                             

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back