- #1

anselcoffee

- 5

- 0

## Homework Statement

Construct a function u of the space H'(B), where B is a unit sphere in R^3, which does not belong to L∞(B).

## Homework Equations

(relevant facts)

all L2 are hilbert, therefore the problem reduces for us finding an L2 function which is not L-infinity.

## The Attempt at a Solution

u=((1/(x+1))^(1/c))-1where c>2.

please note that this is adjusted because our domain is limited to a unit sphere. the unadjusted equation looks like this:

u=(1/x)^(1/c) where c>2.

we don't even know if this is correct. spent 2 days thinking about the problem. any help in finding this function would be much appreciated. thank you!