Problem 2

[Chiara Moraglia]

Sorry, I am still having trouble understanding how #2. b is asking to solve for v using v. Could someone help please?

[Victor Ivrii]

Sorry, I am still having trouble understanding how #2. b is asking to solve for v using v. Could someone help please?

We are looking for $u$, not $v$ -- but $v$ satisfies 1D wave equation and we know everything (well, almost everything) about it

[Peishan Wang]

That means in part (c) we don't need to assume that u is even and we will use this assumption in part (d)? Thanks!

[Victor Ivrii]

You are solving problem from home assignment 2, not from Strauss book. While result will be the same I see no compelling reason to assume a'priory that initial data must be even or odd.

[Qitan Cui]

Could you give some hints to part (d)? I have r in the denominator and I was thinking if I can make the numerator equal 0 when r=0, so using L'hopital rule the limit might exist. Am I on the right track? Thank you.

[Victor Ivrii]

I suspect I gave too many hints and this discussion should be stopped.